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Finding the Fourth Proportional to 9,095.95, 12,551.46 and 5,116.72

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Solution

The fourth proportional to 9,095.95, 12,551.46 and 5,116.72 is: 7,060.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.95 : 12,551.46 = 5,116.72 : x
  2. Step 2: Convert to fraction form
    9,095.95/12,551.46 = 5,116.72/x
  3. Step 3: Cross multiply
    9,095.95x = 12,551.46 × 5,116.72
  4. Step 4: Simplify right side
    9,095.95x = 64,222,279.38
  5. Step 5: Solve for x
    x = 64,222,279.38/9,095.95
  6. Step 6: Final answer
    x = 7,060.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.