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Finding the Fourth Proportional to 9,740.20, 14,610.30 and 9,020.20

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Solution

The fourth proportional to 9,740.20, 14,610.30 and 9,020.20 is: 13,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.20 : 14,610.30 = 9,020.20 : x
  2. Step 2: Convert to fraction form
    9,740.20/14,610.30 = 9,020.20/x
  3. Step 3: Cross multiply
    9,740.20x = 14,610.30 × 9,020.20
  4. Step 4: Simplify right side
    9,740.20x = 131,787,828.06
  5. Step 5: Solve for x
    x = 131,787,828.06/9,740.20
  6. Step 6: Final answer
    x = 13,530.30

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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.