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Finding the Fourth Proportional to 9,114.68, 12,585 and 5,582.72

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Solution

The fourth proportional to 9,114.68, 12,585 and 5,582.72 is: 7,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.68 : 12,585 = 5,582.72 : x
  2. Step 2: Convert to fraction form
    9,114.68/12,585 = 5,582.72/x
  3. Step 3: Cross multiply
    9,114.68x = 12,585 × 5,582.72
  4. Step 4: Simplify right side
    9,114.68x = 70,258,531.20
  5. Step 5: Solve for x
    x = 70,258,531.20/9,114.68
  6. Step 6: Final answer
    x = 7,708.28

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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.