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Finding the Fourth Proportional to 9,706.32, 14,552.46 and 3,128.76

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Solution

The fourth proportional to 9,706.32, 14,552.46 and 3,128.76 is: 4,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.32 : 14,552.46 = 3,128.76 : x
  2. Step 2: Convert to fraction form
    9,706.32/14,552.46 = 3,128.76/x
  3. Step 3: Cross multiply
    9,706.32x = 14,552.46 × 3,128.76
  4. Step 4: Simplify right side
    9,706.32x = 45,531,154.75
  5. Step 5: Solve for x
    x = 45,531,154.75/9,706.32
  6. Step 6: Final answer
    x = 4,690.88

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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.