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Finding the Fourth Proportional to 6,354.14, 9,534.79 and 4,963.58

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Solution

The fourth proportional to 6,354.14, 9,534.79 and 4,963.58 is: 7,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.14 : 9,534.79 = 4,963.58 : x
  2. Step 2: Convert to fraction form
    6,354.14/9,534.79 = 4,963.58/x
  3. Step 3: Cross multiply
    6,354.14x = 9,534.79 × 4,963.58
  4. Step 4: Simplify right side
    6,354.14x = 47,326,645.27
  5. Step 5: Solve for x
    x = 47,326,645.27/6,354.14
  6. Step 6: Final answer
    x = 7,448.16

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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.