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Finding the Fourth Proportional to 9,780.37, 13,496.83 and 5,304.13

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Solution

The fourth proportional to 9,780.37, 13,496.83 and 5,304.13 is: 7,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.37 : 13,496.83 = 5,304.13 : x
  2. Step 2: Convert to fraction form
    9,780.37/13,496.83 = 5,304.13/x
  3. Step 3: Cross multiply
    9,780.37x = 13,496.83 × 5,304.13
  4. Step 4: Simplify right side
    9,780.37x = 71,588,923.74
  5. Step 5: Solve for x
    x = 71,588,923.74/9,780.37
  6. Step 6: Final answer
    x = 7,319.66

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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.