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Finding the Fourth Proportional to 9,868.84, 13,623.80 and 7,739.55

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Solution

The fourth proportional to 9,868.84, 13,623.80 and 7,739.55 is: 10,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.84 : 13,623.80 = 7,739.55 : x
  2. Step 2: Convert to fraction form
    9,868.84/13,623.80 = 7,739.55/x
  3. Step 3: Cross multiply
    9,868.84x = 13,623.80 × 7,739.55
  4. Step 4: Simplify right side
    9,868.84x = 105,442,042.59
  5. Step 5: Solve for x
    x = 105,442,042.59/9,868.84
  6. Step 6: Final answer
    x = 10,684.34

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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.