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Finding the Fourth Proportional to 7,150.86, 9,868.23 and 4,317.66

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Solution

The fourth proportional to 7,150.86, 9,868.23 and 4,317.66 is: 5,958.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.86 : 9,868.23 = 4,317.66 : x
  2. Step 2: Convert to fraction form
    7,150.86/9,868.23 = 4,317.66/x
  3. Step 3: Cross multiply
    7,150.86x = 9,868.23 × 4,317.66
  4. Step 4: Simplify right side
    7,150.86x = 42,607,661.94
  5. Step 5: Solve for x
    x = 42,607,661.94/7,150.86
  6. Step 6: Final answer
    x = 5,958.40

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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.