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Finding the Fourth Proportional to 10,301.80, 15,452.70 and 9,208.30

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Solution

The fourth proportional to 10,301.80, 15,452.70 and 9,208.30 is: 13,812.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.80 : 15,452.70 = 9,208.30 : x
  2. Step 2: Convert to fraction form
    10,301.80/15,452.70 = 9,208.30/x
  3. Step 3: Cross multiply
    10,301.80x = 15,452.70 × 9,208.30
  4. Step 4: Simplify right side
    10,301.80x = 142,293,097.41
  5. Step 5: Solve for x
    x = 142,293,097.41/10,301.80
  6. Step 6: Final answer
    x = 13,812.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.