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Finding the Fourth Proportional to 7,123.39, 9,826.82 and 4,607.69

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Solution

The fourth proportional to 7,123.39, 9,826.82 and 4,607.69 is: 6,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.39 : 9,826.82 = 4,607.69 : x
  2. Step 2: Convert to fraction form
    7,123.39/9,826.82 = 4,607.69/x
  3. Step 3: Cross multiply
    7,123.39x = 9,826.82 × 4,607.69
  4. Step 4: Simplify right side
    7,123.39x = 45,278,885.35
  5. Step 5: Solve for x
    x = 45,278,885.35/7,123.39
  6. Step 6: Final answer
    x = 6,356.36

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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.