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Finding the Fourth Proportional to 9,473.46, 13,061.19 and 6,484.14

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Solution

The fourth proportional to 9,473.46, 13,061.19 and 6,484.14 is: 8,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.46 : 13,061.19 = 6,484.14 : x
  2. Step 2: Convert to fraction form
    9,473.46/13,061.19 = 6,484.14/x
  3. Step 3: Cross multiply
    9,473.46x = 13,061.19 × 6,484.14
  4. Step 4: Simplify right side
    9,473.46x = 84,690,584.53
  5. Step 5: Solve for x
    x = 84,690,584.53/9,473.46
  6. Step 6: Final answer
    x = 8,939.77

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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.