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Finding the Fourth Proportional to 6,180.06, 9,258.93 and 4,095.12

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Solution

The fourth proportional to 6,180.06, 9,258.93 and 4,095.12 is: 6,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.06 : 9,258.93 = 4,095.12 : x
  2. Step 2: Convert to fraction form
    6,180.06/9,258.93 = 4,095.12/x
  3. Step 3: Cross multiply
    6,180.06x = 9,258.93 × 4,095.12
  4. Step 4: Simplify right side
    6,180.06x = 37,916,429.42
  5. Step 5: Solve for x
    x = 37,916,429.42/6,180.06
  6. Step 6: Final answer
    x = 6,135.29

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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.