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Finding the Fourth Proportional to 9,260.80, 13,891.20 and 4,642.72

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Solution

The fourth proportional to 9,260.80, 13,891.20 and 4,642.72 is: 6,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.80 : 13,891.20 = 4,642.72 : x
  2. Step 2: Convert to fraction form
    9,260.80/13,891.20 = 4,642.72/x
  3. Step 3: Cross multiply
    9,260.80x = 13,891.20 × 4,642.72
  4. Step 4: Simplify right side
    9,260.80x = 64,492,952.06
  5. Step 5: Solve for x
    x = 64,492,952.06/9,260.80
  6. Step 6: Final answer
    x = 6,964.08

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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.