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Finding the Fourth Proportional to 9,449.63, 13,040.49 and 5,470.95

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Solution

The fourth proportional to 9,449.63, 13,040.49 and 5,470.95 is: 7,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.63 : 13,040.49 = 5,470.95 : x
  2. Step 2: Convert to fraction form
    9,449.63/13,040.49 = 5,470.95/x
  3. Step 3: Cross multiply
    9,449.63x = 13,040.49 × 5,470.95
  4. Step 4: Simplify right side
    9,449.63x = 71,343,868.77
  5. Step 5: Solve for x
    x = 71,343,868.77/9,449.63
  6. Step 6: Final answer
    x = 7,549.92

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