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Finding the Fourth Proportional to 9,984.11, 14,945.02 and 7,354.58

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Solution

The fourth proportional to 9,984.11, 14,945.02 and 7,354.58 is: 11,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.11 : 14,945.02 = 7,354.58 : x
  2. Step 2: Convert to fraction form
    9,984.11/14,945.02 = 7,354.58/x
  3. Step 3: Cross multiply
    9,984.11x = 14,945.02 × 7,354.58
  4. Step 4: Simplify right side
    9,984.11x = 109,914,252.08
  5. Step 5: Solve for x
    x = 109,914,252.08/9,984.11
  6. Step 6: Final answer
    x = 11,008.92

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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.