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Finding the Fourth Proportional to 9,410.70, 14,110.47 and 6,294.18

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Solution

The fourth proportional to 9,410.70, 14,110.47 and 6,294.18 is: 9,437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.70 : 14,110.47 = 6,294.18 : x
  2. Step 2: Convert to fraction form
    9,410.70/14,110.47 = 6,294.18/x
  3. Step 3: Cross multiply
    9,410.70x = 14,110.47 × 6,294.18
  4. Step 4: Simplify right side
    9,410.70x = 88,813,838.06
  5. Step 5: Solve for x
    x = 88,813,838.06/9,410.70
  6. Step 6: Final answer
    x = 9,437.54

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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.