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Finding the Fourth Proportional to 7,139.85, 9,856.57 and 4,488.72

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Solution

The fourth proportional to 7,139.85, 9,856.57 and 4,488.72 is: 6,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.85 : 9,856.57 = 4,488.72 : x
  2. Step 2: Convert to fraction form
    7,139.85/9,856.57 = 4,488.72/x
  3. Step 3: Cross multiply
    7,139.85x = 9,856.57 × 4,488.72
  4. Step 4: Simplify right side
    7,139.85x = 44,243,418.75
  5. Step 5: Solve for x
    x = 44,243,418.75/7,139.85
  6. Step 6: Final answer
    x = 6,196.69

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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.