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Finding the Fourth Proportional to 6,565.78, 9,847.92 and 1,886.20

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Solution

The fourth proportional to 6,565.78, 9,847.92 and 1,886.20 is: 2,829.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.78 : 9,847.92 = 1,886.20 : x
  2. Step 2: Convert to fraction form
    6,565.78/9,847.92 = 1,886.20/x
  3. Step 3: Cross multiply
    6,565.78x = 9,847.92 × 1,886.20
  4. Step 4: Simplify right side
    6,565.78x = 18,575,146.70
  5. Step 5: Solve for x
    x = 18,575,146.70/6,565.78
  6. Step 6: Final answer
    x = 2,829.08

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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.