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Finding the Fourth Proportional to 6,309.92, 8,693.91 and 4,210.40

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Solution

The fourth proportional to 6,309.92, 8,693.91 and 4,210.40 is: 5,801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.92 : 8,693.91 = 4,210.40 : x
  2. Step 2: Convert to fraction form
    6,309.92/8,693.91 = 4,210.40/x
  3. Step 3: Cross multiply
    6,309.92x = 8,693.91 × 4,210.40
  4. Step 4: Simplify right side
    6,309.92x = 36,604,795.19
  5. Step 5: Solve for x
    x = 36,604,795.19/6,309.92
  6. Step 6: Final answer
    x = 5,801.16

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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.