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Finding the Fourth Proportional to 9,545.33, 14,321.41 and 5,804.72

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Solution

The fourth proportional to 9,545.33, 14,321.41 and 5,804.72 is: 8,709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545.33 : 14,321.41 = 5,804.72 : x
  2. Step 2: Convert to fraction form
    9,545.33/14,321.41 = 5,804.72/x
  3. Step 3: Cross multiply
    9,545.33x = 14,321.41 × 5,804.72
  4. Step 4: Simplify right side
    9,545.33x = 83,131,775.06
  5. Step 5: Solve for x
    x = 83,131,775.06/9,545.33
  6. Step 6: Final answer
    x = 8,709.16

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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.