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Finding the Fourth Proportional to 6,557.34, 9,830.09 and 2,394.42

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Solution

The fourth proportional to 6,557.34, 9,830.09 and 2,394.42 is: 3,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.34 : 9,830.09 = 2,394.42 : x
  2. Step 2: Convert to fraction form
    6,557.34/9,830.09 = 2,394.42/x
  3. Step 3: Cross multiply
    6,557.34x = 9,830.09 × 2,394.42
  4. Step 4: Simplify right side
    6,557.34x = 23,537,364.10
  5. Step 5: Solve for x
    x = 23,537,364.10/6,557.34
  6. Step 6: Final answer
    x = 3,589.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.