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Finding the Fourth Proportional to 9,778,684.38, 13,493,930.07 and 5,913,337.02

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Solution

The fourth proportional to 9,778,684.38, 13,493,930.07 and 5,913,337.02 is: 8,160,009.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,684.38 : 13,493,930.07 = 5,913,337.02 : x
  2. Step 2: Convert to fraction form
    9,778,684.38/13,493,930.07 = 5,913,337.02/x
  3. Step 3: Cross multiply
    9,778,684.38x = 13,493,930.07 × 5,913,337.02
  4. Step 4: Simplify right side
    9,778,684.38x = 79,794,156,228,222.19
  5. Step 5: Solve for x
    x = 79,794,156,228,222.19/9,778,684.38
  6. Step 6: Final answer
    x = 8,160,009.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.