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Finding the Fourth Proportional to 9,084.69, 12,531.80 and 8,442.50

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Solution

The fourth proportional to 9,084.69, 12,531.80 and 8,442.50 is: 11,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.69 : 12,531.80 = 8,442.50 : x
  2. Step 2: Convert to fraction form
    9,084.69/12,531.80 = 8,442.50/x
  3. Step 3: Cross multiply
    9,084.69x = 12,531.80 × 8,442.50
  4. Step 4: Simplify right side
    9,084.69x = 105,799,632.46
  5. Step 5: Solve for x
    x = 105,799,632.46/9,084.69
  6. Step 6: Final answer
    x = 11,645.93

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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.