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Finding the Fourth Proportional to 9,002.93, 12,424.02 and 5,023.80

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Solution

The fourth proportional to 9,002.93, 12,424.02 and 5,023.80 is: 6,932.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.93 : 12,424.02 = 5,023.80 : x
  2. Step 2: Convert to fraction form
    9,002.93/12,424.02 = 5,023.80/x
  3. Step 3: Cross multiply
    9,002.93x = 12,424.02 × 5,023.80
  4. Step 4: Simplify right side
    9,002.93x = 62,415,822.74
  5. Step 5: Solve for x
    x = 62,415,822.74/9,002.93
  6. Step 6: Final answer
    x = 6,932.84

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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.