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Finding the Fourth Proportional to 9,463.12, 13,065.68 and 6,328.40

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Solution

The fourth proportional to 9,463.12, 13,065.68 and 6,328.40 is: 8,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.12 : 13,065.68 = 6,328.40 : x
  2. Step 2: Convert to fraction form
    9,463.12/13,065.68 = 6,328.40/x
  3. Step 3: Cross multiply
    9,463.12x = 13,065.68 × 6,328.40
  4. Step 4: Simplify right side
    9,463.12x = 82,684,849.31
  5. Step 5: Solve for x
    x = 82,684,849.31/9,463.12
  6. Step 6: Final answer
    x = 8,737.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.