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Finding the Fourth Proportional to 9,712.12, 14,566.14 and 3,136.54

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Solution

The fourth proportional to 9,712.12, 14,566.14 and 3,136.54 is: 4,704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.12 : 14,566.14 = 3,136.54 : x
  2. Step 2: Convert to fraction form
    9,712.12/14,566.14 = 3,136.54/x
  3. Step 3: Cross multiply
    9,712.12x = 14,566.14 × 3,136.54
  4. Step 4: Simplify right side
    9,712.12x = 45,687,280.76
  5. Step 5: Solve for x
    x = 45,687,280.76/9,712.12
  6. Step 6: Final answer
    x = 4,704.15

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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.