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Finding the Fourth Proportional to 9,663.62, 14,494.52 and 3,088.04

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Solution

The fourth proportional to 9,663.62, 14,494.52 and 3,088.04 is: 4,631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.62 : 14,494.52 = 3,088.04 : x
  2. Step 2: Convert to fraction form
    9,663.62/14,494.52 = 3,088.04/x
  3. Step 3: Cross multiply
    9,663.62x = 14,494.52 × 3,088.04
  4. Step 4: Simplify right side
    9,663.62x = 44,759,649.82
  5. Step 5: Solve for x
    x = 44,759,649.82/9,663.62
  6. Step 6: Final answer
    x = 4,631.77

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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.