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Finding the Fourth Proportional to 9,111.72, 12,574.76 and 5,132.44

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Solution

The fourth proportional to 9,111.72, 12,574.76 and 5,132.44 is: 7,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.72 : 12,574.76 = 5,132.44 : x
  2. Step 2: Convert to fraction form
    9,111.72/12,574.76 = 5,132.44/x
  3. Step 3: Cross multiply
    9,111.72x = 12,574.76 × 5,132.44
  4. Step 4: Simplify right side
    9,111.72x = 64,539,201.21
  5. Step 5: Solve for x
    x = 64,539,201.21/9,111.72
  6. Step 6: Final answer
    x = 7,083.10

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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.