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Finding the Fourth Proportional to 7,214.40, 9,950.65 and 4,523.48

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Solution

The fourth proportional to 7,214.40, 9,950.65 and 4,523.48 is: 6,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.40 : 9,950.65 = 4,523.48 : x
  2. Step 2: Convert to fraction form
    7,214.40/9,950.65 = 4,523.48/x
  3. Step 3: Cross multiply
    7,214.40x = 9,950.65 × 4,523.48
  4. Step 4: Simplify right side
    7,214.40x = 45,011,542.51
  5. Step 5: Solve for x
    x = 45,011,542.51/7,214.40
  6. Step 6: Final answer
    x = 6,239.12

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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.