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Finding the Fourth Proportional to 9,780.37, 13,496.53 and 5,304.04

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Solution

The fourth proportional to 9,780.37, 13,496.53 and 5,304.04 is: 7,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.37 : 13,496.53 = 5,304.04 : x
  2. Step 2: Convert to fraction form
    9,780.37/13,496.53 = 5,304.04/x
  3. Step 3: Cross multiply
    9,780.37x = 13,496.53 × 5,304.04
  4. Step 4: Simplify right side
    9,780.37x = 71,586,134.98
  5. Step 5: Solve for x
    x = 71,586,134.98/9,780.37
  6. Step 6: Final answer
    x = 7,319.37

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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.