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Finding the Fourth Proportional to 9,355.46, 14,019.82 and 6,870.78

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Solution

The fourth proportional to 9,355.46, 14,019.82 and 6,870.78 is: 10,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.46 : 14,019.82 = 6,870.78 : x
  2. Step 2: Convert to fraction form
    9,355.46/14,019.82 = 6,870.78/x
  3. Step 3: Cross multiply
    9,355.46x = 14,019.82 × 6,870.78
  4. Step 4: Simplify right side
    9,355.46x = 96,327,098.86
  5. Step 5: Solve for x
    x = 96,327,098.86/9,355.46
  6. Step 6: Final answer
    x = 10,296.35

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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.