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Finding the Fourth Proportional to 6,356.10, 9,534.08 and 2,607.04

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Solution

The fourth proportional to 6,356.10, 9,534.08 and 2,607.04 is: 3,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.10 : 9,534.08 = 2,607.04 : x
  2. Step 2: Convert to fraction form
    6,356.10/9,534.08 = 2,607.04/x
  3. Step 3: Cross multiply
    6,356.10x = 9,534.08 × 2,607.04
  4. Step 4: Simplify right side
    6,356.10x = 24,855,727.92
  5. Step 5: Solve for x
    x = 24,855,727.92/6,356.10
  6. Step 6: Final answer
    x = 3,910.53

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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.