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Finding the Fourth Proportional to 9,412.71, 12,989.07 and 5,433.59

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Solution

The fourth proportional to 9,412.71, 12,989.07 and 5,433.59 is: 7,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.71 : 12,989.07 = 5,433.59 : x
  2. Step 2: Convert to fraction form
    9,412.71/12,989.07 = 5,433.59/x
  3. Step 3: Cross multiply
    9,412.71x = 12,989.07 × 5,433.59
  4. Step 4: Simplify right side
    9,412.71x = 70,577,280.86
  5. Step 5: Solve for x
    x = 70,577,280.86/9,412.71
  6. Step 6: Final answer
    x = 7,498.08

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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.