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Finding the Fourth Proportional to 7,064.24, 9,748.20 and 3,920.42

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Solution

The fourth proportional to 7,064.24, 9,748.20 and 3,920.42 is: 5,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.24 : 9,748.20 = 3,920.42 : x
  2. Step 2: Convert to fraction form
    7,064.24/9,748.20 = 3,920.42/x
  3. Step 3: Cross multiply
    7,064.24x = 9,748.20 × 3,920.42
  4. Step 4: Simplify right side
    7,064.24x = 38,217,038.24
  5. Step 5: Solve for x
    x = 38,217,038.24/7,064.24
  6. Step 6: Final answer
    x = 5,409.93

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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.