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Finding the Fourth Proportional to 6,412.40, 9,618.90 and 2,030.20

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Solution

The fourth proportional to 6,412.40, 9,618.90 and 2,030.20 is: 3,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.40 : 9,618.90 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    6,412.40/9,618.90 = 2,030.20/x
  3. Step 3: Cross multiply
    6,412.40x = 9,618.90 × 2,030.20
  4. Step 4: Simplify right side
    6,412.40x = 19,528,290.78
  5. Step 5: Solve for x
    x = 19,528,290.78/6,412.40
  6. Step 6: Final answer
    x = 3,045.39

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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.