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Finding the Fourth Proportional to 9,511.32, 14,166.68 and 9,084.90

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Solution

The fourth proportional to 9,511.32, 14,166.68 and 9,084.90 is: 13,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.32 : 14,166.68 = 9,084.90 : x
  2. Step 2: Convert to fraction form
    9,511.32/14,166.68 = 9,084.90/x
  3. Step 3: Cross multiply
    9,511.32x = 14,166.68 × 9,084.90
  4. Step 4: Simplify right side
    9,511.32x = 128,702,825.71
  5. Step 5: Solve for x
    x = 128,702,825.71/9,511.32
  6. Step 6: Final answer
    x = 13,531.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.