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Finding the Fourth Proportional to 9,307.14, 12,842.37 and 5,952.90

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Solution

The fourth proportional to 9,307.14, 12,842.37 and 5,952.90 is: 8,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.14 : 12,842.37 = 5,952.90 : x
  2. Step 2: Convert to fraction form
    9,307.14/12,842.37 = 5,952.90/x
  3. Step 3: Cross multiply
    9,307.14x = 12,842.37 × 5,952.90
  4. Step 4: Simplify right side
    9,307.14x = 76,449,344.37
  5. Step 5: Solve for x
    x = 76,449,344.37/9,307.14
  6. Step 6: Final answer
    x = 8,214.05

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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.