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Finding the Fourth Proportional to 9,672.18, 13,347.42 and 5,639.76

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Solution

The fourth proportional to 9,672.18, 13,347.42 and 5,639.76 is: 7,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.18 : 13,347.42 = 5,639.76 : x
  2. Step 2: Convert to fraction form
    9,672.18/13,347.42 = 5,639.76/x
  3. Step 3: Cross multiply
    9,672.18x = 13,347.42 × 5,639.76
  4. Step 4: Simplify right side
    9,672.18x = 75,276,245.42
  5. Step 5: Solve for x
    x = 75,276,245.42/9,672.18
  6. Step 6: Final answer
    x = 7,782.76

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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.