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Finding the Fourth Proportional to 9,920.70, 13,689.52 and 5,672.86

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Solution

The fourth proportional to 9,920.70, 13,689.52 and 5,672.86 is: 7,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.70 : 13,689.52 = 5,672.86 : x
  2. Step 2: Convert to fraction form
    9,920.70/13,689.52 = 5,672.86/x
  3. Step 3: Cross multiply
    9,920.70x = 13,689.52 × 5,672.86
  4. Step 4: Simplify right side
    9,920.70x = 77,658,682.02
  5. Step 5: Solve for x
    x = 77,658,682.02/9,920.70
  6. Step 6: Final answer
    x = 7,827.94

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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.