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Finding the Fourth Proportional to 6,886.79, 9,500.13 and 4,364.45

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Solution

The fourth proportional to 6,886.79, 9,500.13 and 4,364.45 is: 6,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.79 : 9,500.13 = 4,364.45 : x
  2. Step 2: Convert to fraction form
    6,886.79/9,500.13 = 4,364.45/x
  3. Step 3: Cross multiply
    6,886.79x = 9,500.13 × 4,364.45
  4. Step 4: Simplify right side
    6,886.79x = 41,462,842.38
  5. Step 5: Solve for x
    x = 41,462,842.38/6,886.79
  6. Step 6: Final answer
    x = 6,020.63

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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.