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Finding the Fourth Proportional to 9,643.38, 13,315.41 and 7,401.71

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Solution

The fourth proportional to 9,643.38, 13,315.41 and 7,401.71 is: 10,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.38 : 13,315.41 = 7,401.71 : x
  2. Step 2: Convert to fraction form
    9,643.38/13,315.41 = 7,401.71/x
  3. Step 3: Cross multiply
    9,643.38x = 13,315.41 × 7,401.71
  4. Step 4: Simplify right side
    9,643.38x = 98,556,803.35
  5. Step 5: Solve for x
    x = 98,556,803.35/9,643.38
  6. Step 6: Final answer
    x = 10,220.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.