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Finding the Fourth Proportional to 9,780.96, 13,497.74 and 5,304.70

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Solution

The fourth proportional to 9,780.96, 13,497.74 and 5,304.70 is: 7,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.96 : 13,497.74 = 5,304.70 : x
  2. Step 2: Convert to fraction form
    9,780.96/13,497.74 = 5,304.70/x
  3. Step 3: Cross multiply
    9,780.96x = 13,497.74 × 5,304.70
  4. Step 4: Simplify right side
    9,780.96x = 71,601,461.38
  5. Step 5: Solve for x
    x = 71,601,461.38/9,780.96
  6. Step 6: Final answer
    x = 7,320.49

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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.