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Finding the Fourth Proportional to 10,589.61, 14,607.75 and 9,838.74

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Solution

The fourth proportional to 10,589.61, 14,607.75 and 9,838.74 is: 13,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.61 : 14,607.75 = 9,838.74 : x
  2. Step 2: Convert to fraction form
    10,589.61/14,607.75 = 9,838.74/x
  3. Step 3: Cross multiply
    10,589.61x = 14,607.75 × 9,838.74
  4. Step 4: Simplify right side
    10,589.61x = 143,721,854.24
  5. Step 5: Solve for x
    x = 143,721,854.24/10,589.61
  6. Step 6: Final answer
    x = 13,571.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.