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Finding the Fourth Proportional to 6,852.95, 9,457.07 and 3,709.13

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Solution

The fourth proportional to 6,852.95, 9,457.07 and 3,709.13 is: 5,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.95 : 9,457.07 = 3,709.13 : x
  2. Step 2: Convert to fraction form
    6,852.95/9,457.07 = 3,709.13/x
  3. Step 3: Cross multiply
    6,852.95x = 9,457.07 × 3,709.13
  4. Step 4: Simplify right side
    6,852.95x = 35,077,436.22
  5. Step 5: Solve for x
    x = 35,077,436.22/6,852.95
  6. Step 6: Final answer
    x = 5,118.59

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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.