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Finding the Fourth Proportional to 9,713.74, 14,565.69 and 4,969.17

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Solution

The fourth proportional to 9,713.74, 14,565.69 and 4,969.17 is: 7,451.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.74 : 14,565.69 = 4,969.17 : x
  2. Step 2: Convert to fraction form
    9,713.74/14,565.69 = 4,969.17/x
  3. Step 3: Cross multiply
    9,713.74x = 14,565.69 × 4,969.17
  4. Step 4: Simplify right side
    9,713.74x = 72,379,409.78
  5. Step 5: Solve for x
    x = 72,379,409.78/9,713.74
  6. Step 6: Final answer
    x = 7,451.24

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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.