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Finding the Fourth Proportional to 9,515.85, 14,276.10 and 6,710.16

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Solution

The fourth proportional to 9,515.85, 14,276.10 and 6,710.16 is: 10,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.85 : 14,276.10 = 6,710.16 : x
  2. Step 2: Convert to fraction form
    9,515.85/14,276.10 = 6,710.16/x
  3. Step 3: Cross multiply
    9,515.85x = 14,276.10 × 6,710.16
  4. Step 4: Simplify right side
    9,515.85x = 95,794,915.18
  5. Step 5: Solve for x
    x = 95,794,915.18/9,515.85
  6. Step 6: Final answer
    x = 10,066.88

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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.