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Finding the Fourth Proportional to 9,304.32, 13,948.20 and 6,548.70

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Solution

The fourth proportional to 9,304.32, 13,948.20 and 6,548.70 is: 9,817.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.32 : 13,948.20 = 6,548.70 : x
  2. Step 2: Convert to fraction form
    9,304.32/13,948.20 = 6,548.70/x
  3. Step 3: Cross multiply
    9,304.32x = 13,948.20 × 6,548.70
  4. Step 4: Simplify right side
    9,304.32x = 91,342,577.34
  5. Step 5: Solve for x
    x = 91,342,577.34/9,304.32
  6. Step 6: Final answer
    x = 9,817.22

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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.