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Finding the Fourth Proportional to 6,848.96, 9,451.52 and 3,705.14

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Solution

The fourth proportional to 6,848.96, 9,451.52 and 3,705.14 is: 5,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.96 : 9,451.52 = 3,705.14 : x
  2. Step 2: Convert to fraction form
    6,848.96/9,451.52 = 3,705.14/x
  3. Step 3: Cross multiply
    6,848.96x = 9,451.52 × 3,705.14
  4. Step 4: Simplify right side
    6,848.96x = 35,019,204.81
  5. Step 5: Solve for x
    x = 35,019,204.81/6,848.96
  6. Step 6: Final answer
    x = 5,113.07

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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.