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Finding the Fourth Proportional to 6,540.32, 9,810.48 and 4,353.32

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Solution

The fourth proportional to 6,540.32, 9,810.48 and 4,353.32 is: 6,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.32 : 9,810.48 = 4,353.32 : x
  2. Step 2: Convert to fraction form
    6,540.32/9,810.48 = 4,353.32/x
  3. Step 3: Cross multiply
    6,540.32x = 9,810.48 × 4,353.32
  4. Step 4: Simplify right side
    6,540.32x = 42,708,158.79
  5. Step 5: Solve for x
    x = 42,708,158.79/6,540.32
  6. Step 6: Final answer
    x = 6,529.98

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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.