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Finding the Fourth Proportional to 9,686.74, 14,532.95 and 5,009.40

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Solution

The fourth proportional to 9,686.74, 14,532.95 and 5,009.40 is: 7,515.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.74 : 14,532.95 = 5,009.40 : x
  2. Step 2: Convert to fraction form
    9,686.74/14,532.95 = 5,009.40/x
  3. Step 3: Cross multiply
    9,686.74x = 14,532.95 × 5,009.40
  4. Step 4: Simplify right side
    9,686.74x = 72,801,359.73
  5. Step 5: Solve for x
    x = 72,801,359.73/9,686.74
  6. Step 6: Final answer
    x = 7,515.57

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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.