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Finding the Fourth Proportional to 9,706.04, 14,519.10 and 8,878.28

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Solution

The fourth proportional to 9,706.04, 14,519.10 and 8,878.28 is: 13,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.04 : 14,519.10 = 8,878.28 : x
  2. Step 2: Convert to fraction form
    9,706.04/14,519.10 = 8,878.28/x
  3. Step 3: Cross multiply
    9,706.04x = 14,519.10 × 8,878.28
  4. Step 4: Simplify right side
    9,706.04x = 128,904,635.15
  5. Step 5: Solve for x
    x = 128,904,635.15/9,706.04
  6. Step 6: Final answer
    x = 13,280.87

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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.