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Finding the Fourth Proportional to 6,674.86, 9,208.24 and 4,317.76

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Solution

The fourth proportional to 6,674.86, 9,208.24 and 4,317.76 is: 5,956.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.86 : 9,208.24 = 4,317.76 : x
  2. Step 2: Convert to fraction form
    6,674.86/9,208.24 = 4,317.76/x
  3. Step 3: Cross multiply
    6,674.86x = 9,208.24 × 4,317.76
  4. Step 4: Simplify right side
    6,674.86x = 39,758,970.34
  5. Step 5: Solve for x
    x = 39,758,970.34/6,674.86
  6. Step 6: Final answer
    x = 5,956.52

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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.