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Finding the Fourth Proportional to 9,106.17, 13,630.59 and 6,278.46

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Solution

The fourth proportional to 9,106.17, 13,630.59 and 6,278.46 is: 9,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.17 : 13,630.59 = 6,278.46 : x
  2. Step 2: Convert to fraction form
    9,106.17/13,630.59 = 6,278.46/x
  3. Step 3: Cross multiply
    9,106.17x = 13,630.59 × 6,278.46
  4. Step 4: Simplify right side
    9,106.17x = 85,579,114.09
  5. Step 5: Solve for x
    x = 85,579,114.09/9,106.17
  6. Step 6: Final answer
    x = 9,397.93

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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.