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Finding the Fourth Proportional to 6,710.49, 9,258.60 and 4,195.16

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Solution

The fourth proportional to 6,710.49, 9,258.60 and 4,195.16 is: 5,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.49 : 9,258.60 = 4,195.16 : x
  2. Step 2: Convert to fraction form
    6,710.49/9,258.60 = 4,195.16/x
  3. Step 3: Cross multiply
    6,710.49x = 9,258.60 × 4,195.16
  4. Step 4: Simplify right side
    6,710.49x = 38,841,262.08
  5. Step 5: Solve for x
    x = 38,841,262.08/6,710.49
  6. Step 6: Final answer
    x = 5,788.14

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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.