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Finding the Fourth Proportional to 9,618, 13,276.08 and 5,892

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Solution

The fourth proportional to 9,618, 13,276.08 and 5,892 is: 8,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618 : 13,276.08 = 5,892 : x
  2. Step 2: Convert to fraction form
    9,618/13,276.08 = 5,892/x
  3. Step 3: Cross multiply
    9,618x = 13,276.08 × 5,892
  4. Step 4: Simplify right side
    9,618x = 78,222,663.36
  5. Step 5: Solve for x
    x = 78,222,663.36/9,618
  6. Step 6: Final answer
    x = 8,132.94

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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.