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Finding the Fourth Proportional to 9,780.78, 13,497.45 and 5,304.54

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Solution

The fourth proportional to 9,780.78, 13,497.45 and 5,304.54 is: 7,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.78 : 13,497.45 = 5,304.54 : x
  2. Step 2: Convert to fraction form
    9,780.78/13,497.45 = 5,304.54/x
  3. Step 3: Cross multiply
    9,780.78x = 13,497.45 × 5,304.54
  4. Step 4: Simplify right side
    9,780.78x = 71,597,763.42
  5. Step 5: Solve for x
    x = 71,597,763.42/9,780.78
  6. Step 6: Final answer
    x = 7,320.25

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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.