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Finding the Fourth Proportional to 9,934.71, 13,715.91 and 6,580.38

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Solution

The fourth proportional to 9,934.71, 13,715.91 and 6,580.38 is: 9,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.71 : 13,715.91 = 6,580.38 : x
  2. Step 2: Convert to fraction form
    9,934.71/13,715.91 = 6,580.38/x
  3. Step 3: Cross multiply
    9,934.71x = 13,715.91 × 6,580.38
  4. Step 4: Simplify right side
    9,934.71x = 90,255,899.85
  5. Step 5: Solve for x
    x = 90,255,899.85/9,934.71
  6. Step 6: Final answer
    x = 9,084.91

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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.