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Finding the Fourth Proportional to 6,854.02, 9,458.19 and 4,021

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Solution

The fourth proportional to 6,854.02, 9,458.19 and 4,021 is: 5,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.02 : 9,458.19 = 4,021 : x
  2. Step 2: Convert to fraction form
    6,854.02/9,458.19 = 4,021/x
  3. Step 3: Cross multiply
    6,854.02x = 9,458.19 × 4,021
  4. Step 4: Simplify right side
    6,854.02x = 38,031,381.99
  5. Step 5: Solve for x
    x = 38,031,381.99/6,854.02
  6. Step 6: Final answer
    x = 5,548.77

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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.