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Finding the Fourth Proportional to 9,465.42, 13,061.96 and 5,432.90

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Solution

The fourth proportional to 9,465.42, 13,061.96 and 5,432.90 is: 7,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.42 : 13,061.96 = 5,432.90 : x
  2. Step 2: Convert to fraction form
    9,465.42/13,061.96 = 5,432.90/x
  3. Step 3: Cross multiply
    9,465.42x = 13,061.96 × 5,432.90
  4. Step 4: Simplify right side
    9,465.42x = 70,964,322.48
  5. Step 5: Solve for x
    x = 70,964,322.48/9,465.42
  6. Step 6: Final answer
    x = 7,497.22

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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.