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Finding the Fourth Proportional to 7,013.14, 9,678.71 and 4,029.55

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Solution

The fourth proportional to 7,013.14, 9,678.71 and 4,029.55 is: 5,561.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.14 : 9,678.71 = 4,029.55 : x
  2. Step 2: Convert to fraction form
    7,013.14/9,678.71 = 4,029.55/x
  3. Step 3: Cross multiply
    7,013.14x = 9,678.71 × 4,029.55
  4. Step 4: Simplify right side
    7,013.14x = 39,000,845.88
  5. Step 5: Solve for x
    x = 39,000,845.88/7,013.14
  6. Step 6: Final answer
    x = 5,561.11

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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.