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Finding the Fourth Proportional to 9,043.74, 13,567.68 and 3,497.13

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Solution

The fourth proportional to 9,043.74, 13,567.68 and 3,497.13 is: 5,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,043.74 : 13,567.68 = 3,497.13 : x
  2. Step 2: Convert to fraction form
    9,043.74/13,567.68 = 3,497.13/x
  3. Step 3: Cross multiply
    9,043.74x = 13,567.68 × 3,497.13
  4. Step 4: Simplify right side
    9,043.74x = 47,447,940.76
  5. Step 5: Solve for x
    x = 47,447,940.76/9,043.74
  6. Step 6: Final answer
    x = 5,246.50

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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.