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Finding the Fourth Proportional to 7,064.19, 9,748.88 and 3,920.38

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Solution

The fourth proportional to 7,064.19, 9,748.88 and 3,920.38 is: 5,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.19 : 9,748.88 = 3,920.38 : x
  2. Step 2: Convert to fraction form
    7,064.19/9,748.88 = 3,920.38/x
  3. Step 3: Cross multiply
    7,064.19x = 9,748.88 × 3,920.38
  4. Step 4: Simplify right side
    7,064.19x = 38,219,314.17
  5. Step 5: Solve for x
    x = 38,219,314.17/7,064.19
  6. Step 6: Final answer
    x = 5,410.29

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Why These Related Problems?

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