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Finding the Fourth Proportional to 6,463.95, 9,697.67 and 2,304.40

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Solution

The fourth proportional to 6,463.95, 9,697.67 and 2,304.40 is: 3,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.95 : 9,697.67 = 2,304.40 : x
  2. Step 2: Convert to fraction form
    6,463.95/9,697.67 = 2,304.40/x
  3. Step 3: Cross multiply
    6,463.95x = 9,697.67 × 2,304.40
  4. Step 4: Simplify right side
    6,463.95x = 22,347,314.77
  5. Step 5: Solve for x
    x = 22,347,314.77/6,463.95
  6. Step 6: Final answer
    x = 3,457.22

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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.