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Finding the Fourth Proportional to 9,920.34, 13,690.08 and 5,728.86

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Solution

The fourth proportional to 9,920.34, 13,690.08 and 5,728.86 is: 7,905.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.34 : 13,690.08 = 5,728.86 : x
  2. Step 2: Convert to fraction form
    9,920.34/13,690.08 = 5,728.86/x
  3. Step 3: Cross multiply
    9,920.34x = 13,690.08 × 5,728.86
  4. Step 4: Simplify right side
    9,920.34x = 78,428,551.71
  5. Step 5: Solve for x
    x = 78,428,551.71/9,920.34
  6. Step 6: Final answer
    x = 7,905.83

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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.