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Finding the Fourth Proportional to 9,517.42, 14,276.08 and 6,348.16

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Solution

The fourth proportional to 9,517.42, 14,276.08 and 6,348.16 is: 9,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.42 : 14,276.08 = 6,348.16 : x
  2. Step 2: Convert to fraction form
    9,517.42/14,276.08 = 6,348.16/x
  3. Step 3: Cross multiply
    9,517.42x = 14,276.08 × 6,348.16
  4. Step 4: Simplify right side
    9,517.42x = 90,626,804.32
  5. Step 5: Solve for x
    x = 90,626,804.32/9,517.42
  6. Step 6: Final answer
    x = 9,522.21

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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.