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Finding the Fourth Proportional to 9,389.16, 14,085.66 and 3,233

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Solution

The fourth proportional to 9,389.16, 14,085.66 and 3,233 is: 4,850.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.16 : 14,085.66 = 3,233 : x
  2. Step 2: Convert to fraction form
    9,389.16/14,085.66 = 3,233/x
  3. Step 3: Cross multiply
    9,389.16x = 14,085.66 × 3,233
  4. Step 4: Simplify right side
    9,389.16x = 45,538,938.78
  5. Step 5: Solve for x
    x = 45,538,938.78/9,389.16
  6. Step 6: Final answer
    x = 4,850.16

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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.