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Finding the Fourth Proportional to 9,780.44, 13,497.18 and 5,304.34

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Solution

The fourth proportional to 9,780.44, 13,497.18 and 5,304.34 is: 7,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.44 : 13,497.18 = 5,304.34 : x
  2. Step 2: Convert to fraction form
    9,780.44/13,497.18 = 5,304.34/x
  3. Step 3: Cross multiply
    9,780.44x = 13,497.18 × 5,304.34
  4. Step 4: Simplify right side
    9,780.44x = 71,593,631.76
  5. Step 5: Solve for x
    x = 71,593,631.76/9,780.44
  6. Step 6: Final answer
    x = 7,320.08

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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.