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Finding the Fourth Proportional to 9,378.47, 12,932.40 and 5,835.53

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Solution

The fourth proportional to 9,378.47, 12,932.40 and 5,835.53 is: 8,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.47 : 12,932.40 = 5,835.53 : x
  2. Step 2: Convert to fraction form
    9,378.47/12,932.40 = 5,835.53/x
  3. Step 3: Cross multiply
    9,378.47x = 12,932.40 × 5,835.53
  4. Step 4: Simplify right side
    9,378.47x = 75,467,343.51
  5. Step 5: Solve for x
    x = 75,467,343.51/9,378.47
  6. Step 6: Final answer
    x = 8,046.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.