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Finding the Fourth Proportional to 9,687.16, 13,364.22 and 5,959

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Solution

The fourth proportional to 9,687.16, 13,364.22 and 5,959 is: 8,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.16 : 13,364.22 = 5,959 : x
  2. Step 2: Convert to fraction form
    9,687.16/13,364.22 = 5,959/x
  3. Step 3: Cross multiply
    9,687.16x = 13,364.22 × 5,959
  4. Step 4: Simplify right side
    9,687.16x = 79,637,386.98
  5. Step 5: Solve for x
    x = 79,637,386.98/9,687.16
  6. Step 6: Final answer
    x = 8,220.92

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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.