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Finding the Fourth Proportional to 9,674, 14,508.12 and 6,552.08

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Solution

The fourth proportional to 9,674, 14,508.12 and 6,552.08 is: 9,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 14,508.12 = 6,552.08 : x
  2. Step 2: Convert to fraction form
    9,674/14,508.12 = 6,552.08/x
  3. Step 3: Cross multiply
    9,674x = 14,508.12 × 6,552.08
  4. Step 4: Simplify right side
    9,674x = 95,058,362.89
  5. Step 5: Solve for x
    x = 95,058,362.89/9,674
  6. Step 6: Final answer
    x = 9,826.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.