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Finding the Fourth Proportional to 9,046.50, 13,570.92 and 5,352.90

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Solution

The fourth proportional to 9,046.50, 13,570.92 and 5,352.90 is: 8,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.50 : 13,570.92 = 5,352.90 : x
  2. Step 2: Convert to fraction form
    9,046.50/13,570.92 = 5,352.90/x
  3. Step 3: Cross multiply
    9,046.50x = 13,570.92 × 5,352.90
  4. Step 4: Simplify right side
    9,046.50x = 72,643,777.67
  5. Step 5: Solve for x
    x = 72,643,777.67/9,046.50
  6. Step 6: Final answer
    x = 8,030.04

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Why These Related Problems?

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