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Finding the Fourth Proportional to 9,822.68, 13,548.30 and 6,040.90

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Solution

The fourth proportional to 9,822.68, 13,548.30 and 6,040.90 is: 8,332.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.68 : 13,548.30 = 6,040.90 : x
  2. Step 2: Convert to fraction form
    9,822.68/13,548.30 = 6,040.90/x
  3. Step 3: Cross multiply
    9,822.68x = 13,548.30 × 6,040.90
  4. Step 4: Simplify right side
    9,822.68x = 81,843,925.47
  5. Step 5: Solve for x
    x = 81,843,925.47/9,822.68
  6. Step 6: Final answer
    x = 8,332.14

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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.