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Finding the Fourth Proportional to 9,778,458.40, 14,672,936.40 and 4,099,256.80

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Solution

The fourth proportional to 9,778,458.40, 14,672,936.40 and 4,099,256.80 is: 6,151,085.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,458.40 : 14,672,936.40 = 4,099,256.80 : x
  2. Step 2: Convert to fraction form
    9,778,458.40/14,672,936.40 = 4,099,256.80/x
  3. Step 3: Cross multiply
    9,778,458.40x = 14,672,936.40 × 4,099,256.80
  4. Step 4: Simplify right side
    9,778,458.40x = 60,148,134,313,667.52
  5. Step 5: Solve for x
    x = 60,148,134,313,667.52/9,778,458.40
  6. Step 6: Final answer
    x = 6,151,085.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.