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Finding the Fourth Proportional to 9,565.75, 14,354.70 and 4,371.76

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Solution

The fourth proportional to 9,565.75, 14,354.70 and 4,371.76 is: 6,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.75 : 14,354.70 = 4,371.76 : x
  2. Step 2: Convert to fraction form
    9,565.75/14,354.70 = 4,371.76/x
  3. Step 3: Cross multiply
    9,565.75x = 14,354.70 × 4,371.76
  4. Step 4: Simplify right side
    9,565.75x = 62,755,303.27
  5. Step 5: Solve for x
    x = 62,755,303.27/9,565.75
  6. Step 6: Final answer
    x = 6,560.42

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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.