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Finding the Fourth Proportional to 9,117.78, 13,664.88 and 4,116.48

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Solution

The fourth proportional to 9,117.78, 13,664.88 and 4,116.48 is: 6,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.78 : 13,664.88 = 4,116.48 : x
  2. Step 2: Convert to fraction form
    9,117.78/13,664.88 = 4,116.48/x
  3. Step 3: Cross multiply
    9,117.78x = 13,664.88 × 4,116.48
  4. Step 4: Simplify right side
    9,117.78x = 56,251,205.22
  5. Step 5: Solve for x
    x = 56,251,205.22/9,117.78
  6. Step 6: Final answer
    x = 6,169.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.