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Finding the Fourth Proportional to 6,430.24, 9,645.36 and 3,358.24

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Solution

The fourth proportional to 6,430.24, 9,645.36 and 3,358.24 is: 5,037.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.24 : 9,645.36 = 3,358.24 : x
  2. Step 2: Convert to fraction form
    6,430.24/9,645.36 = 3,358.24/x
  3. Step 3: Cross multiply
    6,430.24x = 9,645.36 × 3,358.24
  4. Step 4: Simplify right side
    6,430.24x = 32,391,433.77
  5. Step 5: Solve for x
    x = 32,391,433.77/6,430.24
  6. Step 6: Final answer
    x = 5,037.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.