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Finding the Fourth Proportional to 6,973.88, 9,624.24 and 4,143.69

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Solution

The fourth proportional to 6,973.88, 9,624.24 and 4,143.69 is: 5,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.88 : 9,624.24 = 4,143.69 : x
  2. Step 2: Convert to fraction form
    6,973.88/9,624.24 = 4,143.69/x
  3. Step 3: Cross multiply
    6,973.88x = 9,624.24 × 4,143.69
  4. Step 4: Simplify right side
    6,973.88x = 39,879,867.05
  5. Step 5: Solve for x
    x = 39,879,867.05/6,973.88
  6. Step 6: Final answer
    x = 5,718.47

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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.