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Finding the Fourth Proportional to 9,332.50, 13,999.02 and 2,407

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Solution

The fourth proportional to 9,332.50, 13,999.02 and 2,407 is: 3,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.50 : 13,999.02 = 2,407 : x
  2. Step 2: Convert to fraction form
    9,332.50/13,999.02 = 2,407/x
  3. Step 3: Cross multiply
    9,332.50x = 13,999.02 × 2,407
  4. Step 4: Simplify right side
    9,332.50x = 33,695,641.14
  5. Step 5: Solve for x
    x = 33,695,641.14/9,332.50
  6. Step 6: Final answer
    x = 3,610.57

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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.