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Finding the Fourth Proportional to 7,146.14, 9,860.08 and 4,313.98

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Solution

The fourth proportional to 7,146.14, 9,860.08 and 4,313.98 is: 5,952.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.14 : 9,860.08 = 4,313.98 : x
  2. Step 2: Convert to fraction form
    7,146.14/9,860.08 = 4,313.98/x
  3. Step 3: Cross multiply
    7,146.14x = 9,860.08 × 4,313.98
  4. Step 4: Simplify right side
    7,146.14x = 42,536,187.92
  5. Step 5: Solve for x
    x = 42,536,187.92/7,146.14
  6. Step 6: Final answer
    x = 5,952.33

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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.