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Finding the Fourth Proportional to 7,013.94, 9,686.44 and 5,823.24

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Solution

The fourth proportional to 7,013.94, 9,686.44 and 5,823.24 is: 8,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.94 : 9,686.44 = 5,823.24 : x
  2. Step 2: Convert to fraction form
    7,013.94/9,686.44 = 5,823.24/x
  3. Step 3: Cross multiply
    7,013.94x = 9,686.44 × 5,823.24
  4. Step 4: Simplify right side
    7,013.94x = 56,406,464.87
  5. Step 5: Solve for x
    x = 56,406,464.87/7,013.94
  6. Step 6: Final answer
    x = 8,042.05

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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.