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Finding the Fourth Proportional to 6,356.60, 9,534.90 and 2,461.01

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Solution

The fourth proportional to 6,356.60, 9,534.90 and 2,461.01 is: 3,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.60 : 9,534.90 = 2,461.01 : x
  2. Step 2: Convert to fraction form
    6,356.60/9,534.90 = 2,461.01/x
  3. Step 3: Cross multiply
    6,356.60x = 9,534.90 × 2,461.01
  4. Step 4: Simplify right side
    6,356.60x = 23,465,469.16
  5. Step 5: Solve for x
    x = 23,465,469.16/6,356.60
  6. Step 6: Final answer
    x = 3,691.51

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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.