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Finding the Fourth Proportional to 6,412.60, 9,618.90 and 3,132.10

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Solution

The fourth proportional to 6,412.60, 9,618.90 and 3,132.10 is: 4,698.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.60 : 9,618.90 = 3,132.10 : x
  2. Step 2: Convert to fraction form
    6,412.60/9,618.90 = 3,132.10/x
  3. Step 3: Cross multiply
    6,412.60x = 9,618.90 × 3,132.10
  4. Step 4: Simplify right side
    6,412.60x = 30,127,356.69
  5. Step 5: Solve for x
    x = 30,127,356.69/6,412.60
  6. Step 6: Final answer
    x = 4,698.15

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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.