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Finding the Fourth Proportional to 9,460.64, 14,191.04 and 4,265.12

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Solution

The fourth proportional to 9,460.64, 14,191.04 and 4,265.12 is: 6,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.64 : 14,191.04 = 4,265.12 : x
  2. Step 2: Convert to fraction form
    9,460.64/14,191.04 = 4,265.12/x
  3. Step 3: Cross multiply
    9,460.64x = 14,191.04 × 4,265.12
  4. Step 4: Simplify right side
    9,460.64x = 60,526,488.52
  5. Step 5: Solve for x
    x = 60,526,488.52/9,460.64
  6. Step 6: Final answer
    x = 6,397.72

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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.