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Finding the Fourth Proportional to 9,001.99, 13,528.50 and 5,305.96

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Solution

The fourth proportional to 9,001.99, 13,528.50 and 5,305.96 is: 7,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.99 : 13,528.50 = 5,305.96 : x
  2. Step 2: Convert to fraction form
    9,001.99/13,528.50 = 5,305.96/x
  3. Step 3: Cross multiply
    9,001.99x = 13,528.50 × 5,305.96
  4. Step 4: Simplify right side
    9,001.99x = 71,781,679.86
  5. Step 5: Solve for x
    x = 71,781,679.86/9,001.99
  6. Step 6: Final answer
    x = 7,973.98

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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.