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Finding the Fourth Proportional to 9,787.58, 13,500.83 and 6,009.34

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Solution

The fourth proportional to 9,787.58, 13,500.83 and 6,009.34 is: 8,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.58 : 13,500.83 = 6,009.34 : x
  2. Step 2: Convert to fraction form
    9,787.58/13,500.83 = 6,009.34/x
  3. Step 3: Cross multiply
    9,787.58x = 13,500.83 × 6,009.34
  4. Step 4: Simplify right side
    9,787.58x = 81,131,050.53
  5. Step 5: Solve for x
    x = 81,131,050.53/9,787.58
  6. Step 6: Final answer
    x = 8,289.18

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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.