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Finding the Fourth Proportional to 7,212.50, 9,953.49 and 4,417.46

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Solution

The fourth proportional to 7,212.50, 9,953.49 and 4,417.46 is: 6,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.50 : 9,953.49 = 4,417.46 : x
  2. Step 2: Convert to fraction form
    7,212.50/9,953.49 = 4,417.46/x
  3. Step 3: Cross multiply
    7,212.50x = 9,953.49 × 4,417.46
  4. Step 4: Simplify right side
    7,212.50x = 43,969,143.94
  5. Step 5: Solve for x
    x = 43,969,143.94/7,212.50
  6. Step 6: Final answer
    x = 6,096.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.