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Finding the Fourth Proportional to 6,726.95, 9,287.76 and 4,210.08

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Solution

The fourth proportional to 6,726.95, 9,287.76 and 4,210.08 is: 5,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.95 : 9,287.76 = 4,210.08 : x
  2. Step 2: Convert to fraction form
    6,726.95/9,287.76 = 4,210.08/x
  3. Step 3: Cross multiply
    6,726.95x = 9,287.76 × 4,210.08
  4. Step 4: Simplify right side
    6,726.95x = 39,102,212.62
  5. Step 5: Solve for x
    x = 39,102,212.62/6,726.95
  6. Step 6: Final answer
    x = 5,812.77

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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.