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Finding the Fourth Proportional to 9,780.34, 13,496.51 and 5,799.07

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Solution

The fourth proportional to 9,780.34, 13,496.51 and 5,799.07 is: 8,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.34 : 13,496.51 = 5,799.07 : x
  2. Step 2: Convert to fraction form
    9,780.34/13,496.51 = 5,799.07/x
  3. Step 3: Cross multiply
    9,780.34x = 13,496.51 × 5,799.07
  4. Step 4: Simplify right side
    9,780.34x = 78,267,177.25
  5. Step 5: Solve for x
    x = 78,267,177.25/9,780.34
  6. Step 6: Final answer
    x = 8,002.50

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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.