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Finding the Fourth Proportional to 9,196, 12,690.49 and 5,004.26

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Solution

The fourth proportional to 9,196, 12,690.49 and 5,004.26 is: 6,905.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196 : 12,690.49 = 5,004.26 : x
  2. Step 2: Convert to fraction form
    9,196/12,690.49 = 5,004.26/x
  3. Step 3: Cross multiply
    9,196x = 12,690.49 × 5,004.26
  4. Step 4: Simplify right side
    9,196x = 63,506,511.49
  5. Step 5: Solve for x
    x = 63,506,511.49/9,196
  6. Step 6: Final answer
    x = 6,905.88

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Why These Related Problems?

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