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Finding the Fourth Proportional to 9,065.64, 13,591.38 and 6,107.40

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Solution

The fourth proportional to 9,065.64, 13,591.38 and 6,107.40 is: 9,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.64 : 13,591.38 = 6,107.40 : x
  2. Step 2: Convert to fraction form
    9,065.64/13,591.38 = 6,107.40/x
  3. Step 3: Cross multiply
    9,065.64x = 13,591.38 × 6,107.40
  4. Step 4: Simplify right side
    9,065.64x = 83,007,994.21
  5. Step 5: Solve for x
    x = 83,007,994.21/9,065.64
  6. Step 6: Final answer
    x = 9,156.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.