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Finding the Fourth Proportional to 9,052.32, 12,462.34 and 7,872.76

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Solution

The fourth proportional to 9,052.32, 12,462.34 and 7,872.76 is: 10,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,052.32 : 12,462.34 = 7,872.76 : x
  2. Step 2: Convert to fraction form
    9,052.32/12,462.34 = 7,872.76/x
  3. Step 3: Cross multiply
    9,052.32x = 12,462.34 × 7,872.76
  4. Step 4: Simplify right side
    9,052.32x = 98,113,011.86
  5. Step 5: Solve for x
    x = 98,113,011.86/9,052.32
  6. Step 6: Final answer
    x = 10,838.44

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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.