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Finding the Fourth Proportional to 9,083.64, 12,532.32 and 5,678.35

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Solution

The fourth proportional to 9,083.64, 12,532.32 and 5,678.35 is: 7,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.64 : 12,532.32 = 5,678.35 : x
  2. Step 2: Convert to fraction form
    9,083.64/12,532.32 = 5,678.35/x
  3. Step 3: Cross multiply
    9,083.64x = 12,532.32 × 5,678.35
  4. Step 4: Simplify right side
    9,083.64x = 71,162,938.44
  5. Step 5: Solve for x
    x = 71,162,938.44/9,083.64
  6. Step 6: Final answer
    x = 7,834.18

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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.