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Finding the Fourth Proportional to 6,536.24, 9,803.32 and 5,432.74

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Solution

The fourth proportional to 6,536.24, 9,803.32 and 5,432.74 is: 8,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.24 : 9,803.32 = 5,432.74 : x
  2. Step 2: Convert to fraction form
    6,536.24/9,803.32 = 5,432.74/x
  3. Step 3: Cross multiply
    6,536.24x = 9,803.32 × 5,432.74
  4. Step 4: Simplify right side
    6,536.24x = 53,258,812.52
  5. Step 5: Solve for x
    x = 53,258,812.52/6,536.24
  6. Step 6: Final answer
    x = 8,148.24

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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.