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Finding the Fourth Proportional to 9,764.72, 13,474.68 and 6,038

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Solution

The fourth proportional to 9,764.72, 13,474.68 and 6,038 is: 8,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.72 : 13,474.68 = 6,038 : x
  2. Step 2: Convert to fraction form
    9,764.72/13,474.68 = 6,038/x
  3. Step 3: Cross multiply
    9,764.72x = 13,474.68 × 6,038
  4. Step 4: Simplify right side
    9,764.72x = 81,360,117.84
  5. Step 5: Solve for x
    x = 81,360,117.84/9,764.72
  6. Step 6: Final answer
    x = 8,332.05

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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.