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Finding the Fourth Proportional to 9,412.48, 12,989.32 and 5,432.82

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Solution

The fourth proportional to 9,412.48, 12,989.32 and 5,432.82 is: 7,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.48 : 12,989.32 = 5,432.82 : x
  2. Step 2: Convert to fraction form
    9,412.48/12,989.32 = 5,432.82/x
  3. Step 3: Cross multiply
    9,412.48x = 12,989.32 × 5,432.82
  4. Step 4: Simplify right side
    9,412.48x = 70,568,637.48
  5. Step 5: Solve for x
    x = 70,568,637.48/9,412.48
  6. Step 6: Final answer
    x = 7,497.35

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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.