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Finding the Fourth Proportional to 9,427.92, 13,008.84 and 6,114

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Solution

The fourth proportional to 9,427.92, 13,008.84 and 6,114 is: 8,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.92 : 13,008.84 = 6,114 : x
  2. Step 2: Convert to fraction form
    9,427.92/13,008.84 = 6,114/x
  3. Step 3: Cross multiply
    9,427.92x = 13,008.84 × 6,114
  4. Step 4: Simplify right side
    9,427.92x = 79,536,047.76
  5. Step 5: Solve for x
    x = 79,536,047.76/9,427.92
  6. Step 6: Final answer
    x = 8,436.22

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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.