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Finding the Fourth Proportional to 6,735.09, 9,291.24 and 4,746.75

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Solution

The fourth proportional to 6,735.09, 9,291.24 and 4,746.75 is: 6,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.09 : 9,291.24 = 4,746.75 : x
  2. Step 2: Convert to fraction form
    6,735.09/9,291.24 = 4,746.75/x
  3. Step 3: Cross multiply
    6,735.09x = 9,291.24 × 4,746.75
  4. Step 4: Simplify right side
    6,735.09x = 44,103,193.47
  5. Step 5: Solve for x
    x = 44,103,193.47/6,735.09
  6. Step 6: Final answer
    x = 6,548.27

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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.