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Finding the Fourth Proportional to 9,565.97, 14,337.95 and 3,717.63

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Solution

The fourth proportional to 9,565.97, 14,337.95 and 3,717.63 is: 5,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.97 : 14,337.95 = 3,717.63 : x
  2. Step 2: Convert to fraction form
    9,565.97/14,337.95 = 3,717.63/x
  3. Step 3: Cross multiply
    9,565.97x = 14,337.95 × 3,717.63
  4. Step 4: Simplify right side
    9,565.97x = 53,303,174.47
  5. Step 5: Solve for x
    x = 53,303,174.47/9,565.97
  6. Step 6: Final answer
    x = 5,572.17

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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.