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Finding the Fourth Proportional to 6,697.40, 9,237.72 and 4,677.44

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Solution

The fourth proportional to 6,697.40, 9,237.72 and 4,677.44 is: 6,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.40 : 9,237.72 = 4,677.44 : x
  2. Step 2: Convert to fraction form
    6,697.40/9,237.72 = 4,677.44/x
  3. Step 3: Cross multiply
    6,697.40x = 9,237.72 × 4,677.44
  4. Step 4: Simplify right side
    6,697.40x = 43,208,881.04
  5. Step 5: Solve for x
    x = 43,208,881.04/6,697.40
  6. Step 6: Final answer
    x = 6,451.59

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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.