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Finding the Fourth Proportional to 6,262.32, 9,347.52 and 5,524.16

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Solution

The fourth proportional to 6,262.32, 9,347.52 and 5,524.16 is: 8,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.32 : 9,347.52 = 5,524.16 : x
  2. Step 2: Convert to fraction form
    6,262.32/9,347.52 = 5,524.16/x
  3. Step 3: Cross multiply
    6,262.32x = 9,347.52 × 5,524.16
  4. Step 4: Simplify right side
    6,262.32x = 51,637,196.08
  5. Step 5: Solve for x
    x = 51,637,196.08/6,262.32
  6. Step 6: Final answer
    x = 8,245.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.