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Finding the Fourth Proportional to 9,663.85, 14,491.72 and 3,088.27

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Solution

The fourth proportional to 9,663.85, 14,491.72 and 3,088.27 is: 4,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.85 : 14,491.72 = 3,088.27 : x
  2. Step 2: Convert to fraction form
    9,663.85/14,491.72 = 3,088.27/x
  3. Step 3: Cross multiply
    9,663.85x = 14,491.72 × 3,088.27
  4. Step 4: Simplify right side
    9,663.85x = 44,754,344.12
  5. Step 5: Solve for x
    x = 44,754,344.12/9,663.85
  6. Step 6: Final answer
    x = 4,631.11

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