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Finding the Fourth Proportional to 9,056.85, 13,574.34 and 6,585.54

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Solution

The fourth proportional to 9,056.85, 13,574.34 and 6,585.54 is: 9,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.85 : 13,574.34 = 6,585.54 : x
  2. Step 2: Convert to fraction form
    9,056.85/13,574.34 = 6,585.54/x
  3. Step 3: Cross multiply
    9,056.85x = 13,574.34 × 6,585.54
  4. Step 4: Simplify right side
    9,056.85x = 89,394,359.04
  5. Step 5: Solve for x
    x = 89,394,359.04/9,056.85
  6. Step 6: Final answer
    x = 9,870.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.