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Finding the Fourth Proportional to 7,064.31, 9,748.82 and 3,920.50

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Solution

The fourth proportional to 7,064.31, 9,748.82 and 3,920.50 is: 5,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.31 : 9,748.82 = 3,920.50 : x
  2. Step 2: Convert to fraction form
    7,064.31/9,748.82 = 3,920.50/x
  3. Step 3: Cross multiply
    7,064.31x = 9,748.82 × 3,920.50
  4. Step 4: Simplify right side
    7,064.31x = 38,220,248.81
  5. Step 5: Solve for x
    x = 38,220,248.81/7,064.31
  6. Step 6: Final answer
    x = 5,410.33

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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.