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Finding the Fourth Proportional to 9,391.48, 14,091 and 3,549.76

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Solution

The fourth proportional to 9,391.48, 14,091 and 3,549.76 is: 5,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.48 : 14,091 = 3,549.76 : x
  2. Step 2: Convert to fraction form
    9,391.48/14,091 = 3,549.76/x
  3. Step 3: Cross multiply
    9,391.48x = 14,091 × 3,549.76
  4. Step 4: Simplify right side
    9,391.48x = 50,019,668.16
  5. Step 5: Solve for x
    x = 50,019,668.16/9,391.48
  6. Step 6: Final answer
    x = 5,326.07

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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.