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Finding the Fourth Proportional to 9,354.46, 14,018.32 and 6,869.78

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Solution

The fourth proportional to 9,354.46, 14,018.32 and 6,869.78 is: 10,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.46 : 14,018.32 = 6,869.78 : x
  2. Step 2: Convert to fraction form
    9,354.46/14,018.32 = 6,869.78/x
  3. Step 3: Cross multiply
    9,354.46x = 14,018.32 × 6,869.78
  4. Step 4: Simplify right side
    9,354.46x = 96,302,774.37
  5. Step 5: Solve for x
    x = 96,302,774.37/9,354.46
  6. Step 6: Final answer
    x = 10,294.85

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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.