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Finding the Fourth Proportional to 9,877.84, 13,638.55 and 6,106.17

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Solution

The fourth proportional to 9,877.84, 13,638.55 and 6,106.17 is: 8,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.84 : 13,638.55 = 6,106.17 : x
  2. Step 2: Convert to fraction form
    9,877.84/13,638.55 = 6,106.17/x
  3. Step 3: Cross multiply
    9,877.84x = 13,638.55 × 6,106.17
  4. Step 4: Simplify right side
    9,877.84x = 83,279,304.85
  5. Step 5: Solve for x
    x = 83,279,304.85/9,877.84
  6. Step 6: Final answer
    x = 8,430.92

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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.