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Finding the Fourth Proportional to 9,045.88, 13,565.46 and 3,200.92

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Solution

The fourth proportional to 9,045.88, 13,565.46 and 3,200.92 is: 4,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.88 : 13,565.46 = 3,200.92 : x
  2. Step 2: Convert to fraction form
    9,045.88/13,565.46 = 3,200.92/x
  3. Step 3: Cross multiply
    9,045.88x = 13,565.46 × 3,200.92
  4. Step 4: Simplify right side
    9,045.88x = 43,421,952.22
  5. Step 5: Solve for x
    x = 43,421,952.22/9,045.88
  6. Step 6: Final answer
    x = 4,800.19

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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.