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Finding the Fourth Proportional to 9,323.88, 12,840.84 and 7,737.36

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Solution

The fourth proportional to 9,323.88, 12,840.84 and 7,737.36 is: 10,655.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.88 : 12,840.84 = 7,737.36 : x
  2. Step 2: Convert to fraction form
    9,323.88/12,840.84 = 7,737.36/x
  3. Step 3: Cross multiply
    9,323.88x = 12,840.84 × 7,737.36
  4. Step 4: Simplify right side
    9,323.88x = 99,354,201.78
  5. Step 5: Solve for x
    x = 99,354,201.78/9,323.88
  6. Step 6: Final answer
    x = 10,655.89

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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.