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Finding the Fourth Proportional to 9,787.77, 13,507.67 and 5,539.05

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Solution

The fourth proportional to 9,787.77, 13,507.67 and 5,539.05 is: 7,644.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.77 : 13,507.67 = 5,539.05 : x
  2. Step 2: Convert to fraction form
    9,787.77/13,507.67 = 5,539.05/x
  3. Step 3: Cross multiply
    9,787.77x = 13,507.67 × 5,539.05
  4. Step 4: Simplify right side
    9,787.77x = 74,819,631.82
  5. Step 5: Solve for x
    x = 74,819,631.82/9,787.77
  6. Step 6: Final answer
    x = 7,644.20

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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.