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Finding the Fourth Proportional to 9,332.40, 13,999.14 and 3,785.52

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Solution

The fourth proportional to 9,332.40, 13,999.14 and 3,785.52 is: 5,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.40 : 13,999.14 = 3,785.52 : x
  2. Step 2: Convert to fraction form
    9,332.40/13,999.14 = 3,785.52/x
  3. Step 3: Cross multiply
    9,332.40x = 13,999.14 × 3,785.52
  4. Step 4: Simplify right side
    9,332.40x = 52,994,024.45
  5. Step 5: Solve for x
    x = 52,994,024.45/9,332.40
  6. Step 6: Final answer
    x = 5,678.50

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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.