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Finding the Fourth Proportional to 6,277.20, 9,430.20 and 4,432.56

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Solution

The fourth proportional to 6,277.20, 9,430.20 and 4,432.56 is: 6,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.20 : 9,430.20 = 4,432.56 : x
  2. Step 2: Convert to fraction form
    6,277.20/9,430.20 = 4,432.56/x
  3. Step 3: Cross multiply
    6,277.20x = 9,430.20 × 4,432.56
  4. Step 4: Simplify right side
    6,277.20x = 41,799,927.31
  5. Step 5: Solve for x
    x = 41,799,927.31/6,277.20
  6. Step 6: Final answer
    x = 6,659.01

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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.