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Finding the Fourth Proportional to 9,901.80, 13,667.40 and 6,366.15

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Solution

The fourth proportional to 9,901.80, 13,667.40 and 6,366.15 is: 8,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.80 : 13,667.40 = 6,366.15 : x
  2. Step 2: Convert to fraction form
    9,901.80/13,667.40 = 6,366.15/x
  3. Step 3: Cross multiply
    9,901.80x = 13,667.40 × 6,366.15
  4. Step 4: Simplify right side
    9,901.80x = 87,008,718.51
  5. Step 5: Solve for x
    x = 87,008,718.51/9,901.80
  6. Step 6: Final answer
    x = 8,787.16

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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.