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Finding the Fourth Proportional to 9,985.29, 13,780.40 and 5,737.05

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Solution

The fourth proportional to 9,985.29, 13,780.40 and 5,737.05 is: 7,917.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.29 : 13,780.40 = 5,737.05 : x
  2. Step 2: Convert to fraction form
    9,985.29/13,780.40 = 5,737.05/x
  3. Step 3: Cross multiply
    9,985.29x = 13,780.40 × 5,737.05
  4. Step 4: Simplify right side
    9,985.29x = 79,058,843.82
  5. Step 5: Solve for x
    x = 79,058,843.82/9,985.29
  6. Step 6: Final answer
    x = 7,917.53

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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.