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Finding the Fourth Proportional to 9,920.31, 13,690.88 and 5,444.92

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Solution

The fourth proportional to 9,920.31, 13,690.88 and 5,444.92 is: 7,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.31 : 13,690.88 = 5,444.92 : x
  2. Step 2: Convert to fraction form
    9,920.31/13,690.88 = 5,444.92/x
  3. Step 3: Cross multiply
    9,920.31x = 13,690.88 × 5,444.92
  4. Step 4: Simplify right side
    9,920.31x = 74,545,746.33
  5. Step 5: Solve for x
    x = 74,545,746.33/9,920.31
  6. Step 6: Final answer
    x = 7,514.46

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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.