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Finding the Fourth Proportional to 9,352.80, 14,029.20 and 6,400.35

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Solution

The fourth proportional to 9,352.80, 14,029.20 and 6,400.35 is: 9,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.80 : 14,029.20 = 6,400.35 : x
  2. Step 2: Convert to fraction form
    9,352.80/14,029.20 = 6,400.35/x
  3. Step 3: Cross multiply
    9,352.80x = 14,029.20 × 6,400.35
  4. Step 4: Simplify right side
    9,352.80x = 89,791,790.22
  5. Step 5: Solve for x
    x = 89,791,790.22/9,352.80
  6. Step 6: Final answer
    x = 9,600.53

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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.