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Finding the Fourth Proportional to 6,332.40, 9,498.60 and 3,733.50

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Solution

The fourth proportional to 6,332.40, 9,498.60 and 3,733.50 is: 5,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.40 : 9,498.60 = 3,733.50 : x
  2. Step 2: Convert to fraction form
    6,332.40/9,498.60 = 3,733.50/x
  3. Step 3: Cross multiply
    6,332.40x = 9,498.60 × 3,733.50
  4. Step 4: Simplify right side
    6,332.40x = 35,463,023.10
  5. Step 5: Solve for x
    x = 35,463,023.10/6,332.40
  6. Step 6: Final answer
    x = 5,600.25

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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.