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Finding the Fourth Proportional to 6,210.51, 9,315.92 and 2,314.14

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Solution

The fourth proportional to 6,210.51, 9,315.92 and 2,314.14 is: 3,471.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.51 : 9,315.92 = 2,314.14 : x
  2. Step 2: Convert to fraction form
    6,210.51/9,315.92 = 2,314.14/x
  3. Step 3: Cross multiply
    6,210.51x = 9,315.92 × 2,314.14
  4. Step 4: Simplify right side
    6,210.51x = 21,558,343.11
  5. Step 5: Solve for x
    x = 21,558,343.11/6,210.51
  6. Step 6: Final answer
    x = 3,471.27

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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.