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Finding the Fourth Proportional to 9,565.38, 14,348.07 and 2,992.16

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Solution

The fourth proportional to 9,565.38, 14,348.07 and 2,992.16 is: 4,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.38 : 14,348.07 = 2,992.16 : x
  2. Step 2: Convert to fraction form
    9,565.38/14,348.07 = 2,992.16/x
  3. Step 3: Cross multiply
    9,565.38x = 14,348.07 × 2,992.16
  4. Step 4: Simplify right side
    9,565.38x = 42,931,757.00
  5. Step 5: Solve for x
    x = 42,931,757.00/9,565.38
  6. Step 6: Final answer
    x = 4,488.24

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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.