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Finding the Fourth Proportional to 9,307.71, 12,845.43 and 5,116.77

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Solution

The fourth proportional to 9,307.71, 12,845.43 and 5,116.77 is: 7,061.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.71 : 12,845.43 = 5,116.77 : x
  2. Step 2: Convert to fraction form
    9,307.71/12,845.43 = 5,116.77/x
  3. Step 3: Cross multiply
    9,307.71x = 12,845.43 × 5,116.77
  4. Step 4: Simplify right side
    9,307.71x = 65,727,110.86
  5. Step 5: Solve for x
    x = 65,727,110.86/9,307.71
  6. Step 6: Final answer
    x = 7,061.58

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