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Finding the Fourth Proportional to 9,307.14, 12,841.89 and 5,528.96

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Solution

The fourth proportional to 9,307.14, 12,841.89 and 5,528.96 is: 7,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.14 : 12,841.89 = 5,528.96 : x
  2. Step 2: Convert to fraction form
    9,307.14/12,841.89 = 5,528.96/x
  3. Step 3: Cross multiply
    9,307.14x = 12,841.89 × 5,528.96
  4. Step 4: Simplify right side
    9,307.14x = 71,002,296.13
  5. Step 5: Solve for x
    x = 71,002,296.13/9,307.14
  6. Step 6: Final answer
    x = 7,628.80

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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.