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Finding the Fourth Proportional to 9,477.23, 14,228.17 and 7,287.50

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Solution

The fourth proportional to 9,477.23, 14,228.17 and 7,287.50 is: 10,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.23 : 14,228.17 = 7,287.50 : x
  2. Step 2: Convert to fraction form
    9,477.23/14,228.17 = 7,287.50/x
  3. Step 3: Cross multiply
    9,477.23x = 14,228.17 × 7,287.50
  4. Step 4: Simplify right side
    9,477.23x = 103,687,752.87
  5. Step 5: Solve for x
    x = 103,687,752.87/9,477.23
  6. Step 6: Final answer
    x = 10,940.72

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Why These Related Problems?

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