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Finding the Fourth Proportional to 6,095.84, 9,138.76 and 3,904

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Solution

The fourth proportional to 6,095.84, 9,138.76 and 3,904 is: 5,852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.84 : 9,138.76 = 3,904 : x
  2. Step 2: Convert to fraction form
    6,095.84/9,138.76 = 3,904/x
  3. Step 3: Cross multiply
    6,095.84x = 9,138.76 × 3,904
  4. Step 4: Simplify right side
    6,095.84x = 35,677,719.04
  5. Step 5: Solve for x
    x = 35,677,719.04/6,095.84
  6. Step 6: Final answer
    x = 5,852.80

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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.