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Finding the Fourth Proportional to 9,901.39, 13,663.74 and 5,870.93

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Solution

The fourth proportional to 9,901.39, 13,663.74 and 5,870.93 is: 8,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.39 : 13,663.74 = 5,870.93 : x
  2. Step 2: Convert to fraction form
    9,901.39/13,663.74 = 5,870.93/x
  3. Step 3: Cross multiply
    9,901.39x = 13,663.74 × 5,870.93
  4. Step 4: Simplify right side
    9,901.39x = 80,218,917.25
  5. Step 5: Solve for x
    x = 80,218,917.25/9,901.39
  6. Step 6: Final answer
    x = 8,101.78

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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.