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Finding the Fourth Proportional to 9,260.10, 13,872.70 and 4,574.62

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Solution

The fourth proportional to 9,260.10, 13,872.70 and 4,574.62 is: 6,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.10 : 13,872.70 = 4,574.62 : x
  2. Step 2: Convert to fraction form
    9,260.10/13,872.70 = 4,574.62/x
  3. Step 3: Cross multiply
    9,260.10x = 13,872.70 × 4,574.62
  4. Step 4: Simplify right side
    9,260.10x = 63,462,353.93
  5. Step 5: Solve for x
    x = 63,462,353.93/9,260.10
  6. Step 6: Final answer
    x = 6,853.31

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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.