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Finding the Fourth Proportional to 6,317.30, 9,469.63 and 5,210.14

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Solution

The fourth proportional to 6,317.30, 9,469.63 and 5,210.14 is: 7,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.30 : 9,469.63 = 5,210.14 : x
  2. Step 2: Convert to fraction form
    6,317.30/9,469.63 = 5,210.14/x
  3. Step 3: Cross multiply
    6,317.30x = 9,469.63 × 5,210.14
  4. Step 4: Simplify right side
    6,317.30x = 49,338,098.05
  5. Step 5: Solve for x
    x = 49,338,098.05/6,317.30
  6. Step 6: Final answer
    x = 7,810.00

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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.