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Finding the Fourth Proportional to 9,121.49, 12,585.87 and 5,582.19

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Solution

The fourth proportional to 9,121.49, 12,585.87 and 5,582.19 is: 7,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.49 : 12,585.87 = 5,582.19 : x
  2. Step 2: Convert to fraction form
    9,121.49/12,585.87 = 5,582.19/x
  3. Step 3: Cross multiply
    9,121.49x = 12,585.87 × 5,582.19
  4. Step 4: Simplify right side
    9,121.49x = 70,256,717.66
  5. Step 5: Solve for x
    x = 70,256,717.66/9,121.49
  6. Step 6: Final answer
    x = 7,702.33

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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.