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Finding the Fourth Proportional to 9,842.42, 13,572.24 and 6,480.93

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Solution

The fourth proportional to 9,842.42, 13,572.24 and 6,480.93 is: 8,936.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.42 : 13,572.24 = 6,480.93 : x
  2. Step 2: Convert to fraction form
    9,842.42/13,572.24 = 6,480.93/x
  3. Step 3: Cross multiply
    9,842.42x = 13,572.24 × 6,480.93
  4. Step 4: Simplify right side
    9,842.42x = 87,960,763.98
  5. Step 5: Solve for x
    x = 87,960,763.98/9,842.42
  6. Step 6: Final answer
    x = 8,936.90

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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.