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Finding the Fourth Proportional to 7,086.98, 9,779.87 and 3,856.70

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Solution

The fourth proportional to 7,086.98, 9,779.87 and 3,856.70 is: 5,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.98 : 9,779.87 = 3,856.70 : x
  2. Step 2: Convert to fraction form
    7,086.98/9,779.87 = 3,856.70/x
  3. Step 3: Cross multiply
    7,086.98x = 9,779.87 × 3,856.70
  4. Step 4: Simplify right side
    7,086.98x = 37,718,058.72
  5. Step 5: Solve for x
    x = 37,718,058.72/7,086.98
  6. Step 6: Final answer
    x = 5,322.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.