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Finding the Fourth Proportional to 7,139.60, 9,856.23 and 4,488.47

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Solution

The fourth proportional to 7,139.60, 9,856.23 and 4,488.47 is: 6,196.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.60 : 9,856.23 = 4,488.47 : x
  2. Step 2: Convert to fraction form
    7,139.60/9,856.23 = 4,488.47/x
  3. Step 3: Cross multiply
    7,139.60x = 9,856.23 × 4,488.47
  4. Step 4: Simplify right side
    7,139.60x = 44,239,400.48
  5. Step 5: Solve for x
    x = 44,239,400.48/7,139.60
  6. Step 6: Final answer
    x = 6,196.34

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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.