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Finding the Fourth Proportional to 9,901.57, 13,662.04 and 5,869.67

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Solution

The fourth proportional to 9,901.57, 13,662.04 and 5,869.67 is: 8,098.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.57 : 13,662.04 = 5,869.67 : x
  2. Step 2: Convert to fraction form
    9,901.57/13,662.04 = 5,869.67/x
  3. Step 3: Cross multiply
    9,901.57x = 13,662.04 × 5,869.67
  4. Step 4: Simplify right side
    9,901.57x = 80,191,656.59
  5. Step 5: Solve for x
    x = 80,191,656.59/9,901.57
  6. Step 6: Final answer
    x = 8,098.88

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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.