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Finding the Fourth Proportional to 9,780.26, 13,496.68 and 5,304

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Solution

The fourth proportional to 9,780.26, 13,496.68 and 5,304 is: 7,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.26 : 13,496.68 = 5,304 : x
  2. Step 2: Convert to fraction form
    9,780.26/13,496.68 = 5,304/x
  3. Step 3: Cross multiply
    9,780.26x = 13,496.68 × 5,304
  4. Step 4: Simplify right side
    9,780.26x = 71,586,390.72
  5. Step 5: Solve for x
    x = 71,586,390.72/9,780.26
  6. Step 6: Final answer
    x = 7,319.48

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