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Finding the Fourth Proportional to 9,139.89, 13,710.89 and 8,641.65

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Solution

The fourth proportional to 9,139.89, 13,710.89 and 8,641.65 is: 12,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.89 : 13,710.89 = 8,641.65 : x
  2. Step 2: Convert to fraction form
    9,139.89/13,710.89 = 8,641.65/x
  3. Step 3: Cross multiply
    9,139.89x = 13,710.89 × 8,641.65
  4. Step 4: Simplify right side
    9,139.89x = 118,484,712.57
  5. Step 5: Solve for x
    x = 118,484,712.57/9,139.89
  6. Step 6: Final answer
    x = 12,963.47

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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.