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Finding the Fourth Proportional to 9,764.66, 13,471.94 and 6,360.14

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Solution

The fourth proportional to 9,764.66, 13,471.94 and 6,360.14 is: 8,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.66 : 13,471.94 = 6,360.14 : x
  2. Step 2: Convert to fraction form
    9,764.66/13,471.94 = 6,360.14/x
  3. Step 3: Cross multiply
    9,764.66x = 13,471.94 × 6,360.14
  4. Step 4: Simplify right side
    9,764.66x = 85,683,424.47
  5. Step 5: Solve for x
    x = 85,683,424.47/9,764.66
  6. Step 6: Final answer
    x = 8,774.85

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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.