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Finding the Fourth Proportional to 6,595.92, 9,105.30 and 4,209.12

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Solution

The fourth proportional to 6,595.92, 9,105.30 and 4,209.12 is: 5,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.92 : 9,105.30 = 4,209.12 : x
  2. Step 2: Convert to fraction form
    6,595.92/9,105.30 = 4,209.12/x
  3. Step 3: Cross multiply
    6,595.92x = 9,105.30 × 4,209.12
  4. Step 4: Simplify right side
    6,595.92x = 38,325,300.34
  5. Step 5: Solve for x
    x = 38,325,300.34/6,595.92
  6. Step 6: Final answer
    x = 5,810.46

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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.