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Finding the Fourth Proportional to 9,591.50, 14,386.10 and 2,572.07

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Solution

The fourth proportional to 9,591.50, 14,386.10 and 2,572.07 is: 3,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.50 : 14,386.10 = 2,572.07 : x
  2. Step 2: Convert to fraction form
    9,591.50/14,386.10 = 2,572.07/x
  3. Step 3: Cross multiply
    9,591.50x = 14,386.10 × 2,572.07
  4. Step 4: Simplify right side
    9,591.50x = 37,001,971.44
  5. Step 5: Solve for x
    x = 37,001,971.44/9,591.50
  6. Step 6: Final answer
    x = 3,857.79

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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.