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Finding the Fourth Proportional to 9,892.26, 13,666.05 and 6,497.28

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Solution

The fourth proportional to 9,892.26, 13,666.05 and 6,497.28 is: 8,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.26 : 13,666.05 = 6,497.28 : x
  2. Step 2: Convert to fraction form
    9,892.26/13,666.05 = 6,497.28/x
  3. Step 3: Cross multiply
    9,892.26x = 13,666.05 × 6,497.28
  4. Step 4: Simplify right side
    9,892.26x = 88,792,153.34
  5. Step 5: Solve for x
    x = 88,792,153.34/9,892.26
  6. Step 6: Final answer
    x = 8,975.92

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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.