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Finding the Fourth Proportional to 6,484.42, 9,726.82 and 2,535.52

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Solution

The fourth proportional to 6,484.42, 9,726.82 and 2,535.52 is: 3,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.42 : 9,726.82 = 2,535.52 : x
  2. Step 2: Convert to fraction form
    6,484.42/9,726.82 = 2,535.52/x
  3. Step 3: Cross multiply
    6,484.42x = 9,726.82 × 2,535.52
  4. Step 4: Simplify right side
    6,484.42x = 24,662,498.01
  5. Step 5: Solve for x
    x = 24,662,498.01/6,484.42
  6. Step 6: Final answer
    x = 3,803.35

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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.