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Finding the Fourth Proportional to 9,440, 14,160.12 and 3,284

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Solution

The fourth proportional to 9,440, 14,160.12 and 3,284 is: 4,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,440 : 14,160.12 = 3,284 : x
  2. Step 2: Convert to fraction form
    9,440/14,160.12 = 3,284/x
  3. Step 3: Cross multiply
    9,440x = 14,160.12 × 3,284
  4. Step 4: Simplify right side
    9,440x = 46,501,834.08
  5. Step 5: Solve for x
    x = 46,501,834.08/9,440
  6. Step 6: Final answer
    x = 4,926.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.