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Finding the Fourth Proportional to 6,858.07, 9,464.14 and 4,024.89

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Solution

The fourth proportional to 6,858.07, 9,464.14 and 4,024.89 is: 5,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.07 : 9,464.14 = 4,024.89 : x
  2. Step 2: Convert to fraction form
    6,858.07/9,464.14 = 4,024.89/x
  3. Step 3: Cross multiply
    6,858.07x = 9,464.14 × 4,024.89
  4. Step 4: Simplify right side
    6,858.07x = 38,092,127.48
  5. Step 5: Solve for x
    x = 38,092,127.48/6,858.07
  6. Step 6: Final answer
    x = 5,554.35

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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.