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Finding the Fourth Proportional to 9,140.93, 13,709.66 and 4,456.23

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Solution

The fourth proportional to 9,140.93, 13,709.66 and 4,456.23 is: 6,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.93 : 13,709.66 = 4,456.23 : x
  2. Step 2: Convert to fraction form
    9,140.93/13,709.66 = 4,456.23/x
  3. Step 3: Cross multiply
    9,140.93x = 13,709.66 × 4,456.23
  4. Step 4: Simplify right side
    9,140.93x = 61,093,375.90
  5. Step 5: Solve for x
    x = 61,093,375.90/9,140.93
  6. Step 6: Final answer
    x = 6,683.50

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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.