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Finding the Fourth Proportional to 9,434.16, 14,151.08 and 3,278

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Solution

The fourth proportional to 9,434.16, 14,151.08 and 3,278 is: 4,916.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.16 : 14,151.08 = 3,278 : x
  2. Step 2: Convert to fraction form
    9,434.16/14,151.08 = 3,278/x
  3. Step 3: Cross multiply
    9,434.16x = 14,151.08 × 3,278
  4. Step 4: Simplify right side
    9,434.16x = 46,387,240.24
  5. Step 5: Solve for x
    x = 46,387,240.24/9,434.16
  6. Step 6: Final answer
    x = 4,916.94

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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.