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Finding the Fourth Proportional to 9,587.52, 13,230 and 5,395.68

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Solution

The fourth proportional to 9,587.52, 13,230 and 5,395.68 is: 7,445.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.52 : 13,230 = 5,395.68 : x
  2. Step 2: Convert to fraction form
    9,587.52/13,230 = 5,395.68/x
  3. Step 3: Cross multiply
    9,587.52x = 13,230 × 5,395.68
  4. Step 4: Simplify right side
    9,587.52x = 71,384,846.40
  5. Step 5: Solve for x
    x = 71,384,846.40/9,587.52
  6. Step 6: Final answer
    x = 7,445.60

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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.