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Finding the Fourth Proportional to 9,878.40, 13,626.88 and 6,102.40

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Solution

The fourth proportional to 9,878.40, 13,626.88 and 6,102.40 is: 8,418.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.40 : 13,626.88 = 6,102.40 : x
  2. Step 2: Convert to fraction form
    9,878.40/13,626.88 = 6,102.40/x
  3. Step 3: Cross multiply
    9,878.40x = 13,626.88 × 6,102.40
  4. Step 4: Simplify right side
    9,878.40x = 83,156,672.51
  5. Step 5: Solve for x
    x = 83,156,672.51/9,878.40
  6. Step 6: Final answer
    x = 8,418.03

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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.