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Finding the Fourth Proportional to 9,354.76, 13,989.49 and 6,984.52

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Solution

The fourth proportional to 9,354.76, 13,989.49 and 6,984.52 is: 10,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.76 : 13,989.49 = 6,984.52 : x
  2. Step 2: Convert to fraction form
    9,354.76/13,989.49 = 6,984.52/x
  3. Step 3: Cross multiply
    9,354.76x = 13,989.49 × 6,984.52
  4. Step 4: Simplify right side
    9,354.76x = 97,709,872.69
  5. Step 5: Solve for x
    x = 97,709,872.69/9,354.76
  6. Step 6: Final answer
    x = 10,444.94

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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.