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Finding the Fourth Proportional to 7,113.24, 9,817.20 and 3,970.08

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Solution

The fourth proportional to 7,113.24, 9,817.20 and 3,970.08 is: 5,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.24 : 9,817.20 = 3,970.08 : x
  2. Step 2: Convert to fraction form
    7,113.24/9,817.20 = 3,970.08/x
  3. Step 3: Cross multiply
    7,113.24x = 9,817.20 × 3,970.08
  4. Step 4: Simplify right side
    7,113.24x = 38,975,069.38
  5. Step 5: Solve for x
    x = 38,975,069.38/7,113.24
  6. Step 6: Final answer
    x = 5,479.23

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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.