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Finding the Fourth Proportional to 9,477.33, 14,228.29 and 7,287.59

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Solution

The fourth proportional to 9,477.33, 14,228.29 and 7,287.59 is: 10,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.33 : 14,228.29 = 7,287.59 : x
  2. Step 2: Convert to fraction form
    9,477.33/14,228.29 = 7,287.59/x
  3. Step 3: Cross multiply
    9,477.33x = 14,228.29 × 7,287.59
  4. Step 4: Simplify right side
    9,477.33x = 103,689,943.92
  5. Step 5: Solve for x
    x = 103,689,943.92/9,477.33
  6. Step 6: Final answer
    x = 10,940.84

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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.