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Finding the Fourth Proportional to 9,740.66, 14,610.38 and 2,815.16

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Solution

The fourth proportional to 9,740.66, 14,610.38 and 2,815.16 is: 4,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.66 : 14,610.38 = 2,815.16 : x
  2. Step 2: Convert to fraction form
    9,740.66/14,610.38 = 2,815.16/x
  3. Step 3: Cross multiply
    9,740.66x = 14,610.38 × 2,815.16
  4. Step 4: Simplify right side
    9,740.66x = 41,130,470.23
  5. Step 5: Solve for x
    x = 41,130,470.23/9,740.66
  6. Step 6: Final answer
    x = 4,222.56

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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.