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Finding the Fourth Proportional to 6,642.64, 9,960.78 and 3,870.11

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Solution

The fourth proportional to 6,642.64, 9,960.78 and 3,870.11 is: 5,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.64 : 9,960.78 = 3,870.11 : x
  2. Step 2: Convert to fraction form
    6,642.64/9,960.78 = 3,870.11/x
  3. Step 3: Cross multiply
    6,642.64x = 9,960.78 × 3,870.11
  4. Step 4: Simplify right side
    6,642.64x = 38,549,353.70
  5. Step 5: Solve for x
    x = 38,549,353.70/6,642.64
  6. Step 6: Final answer
    x = 5,803.32

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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.