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Finding the Fourth Proportional to 9,534.72, 14,304.16 and 3,988.32

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Solution

The fourth proportional to 9,534.72, 14,304.16 and 3,988.32 is: 5,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.72 : 14,304.16 = 3,988.32 : x
  2. Step 2: Convert to fraction form
    9,534.72/14,304.16 = 3,988.32/x
  3. Step 3: Cross multiply
    9,534.72x = 14,304.16 × 3,988.32
  4. Step 4: Simplify right side
    9,534.72x = 57,049,567.41
  5. Step 5: Solve for x
    x = 57,049,567.41/9,534.72
  6. Step 6: Final answer
    x = 5,983.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.