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Finding the Fourth Proportional to 9,820.43, 14,718.95 and 6,842.76

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Solution

The fourth proportional to 9,820.43, 14,718.95 and 6,842.76 is: 10,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.43 : 14,718.95 = 6,842.76 : x
  2. Step 2: Convert to fraction form
    9,820.43/14,718.95 = 6,842.76/x
  3. Step 3: Cross multiply
    9,820.43x = 14,718.95 × 6,842.76
  4. Step 4: Simplify right side
    9,820.43x = 100,718,208.09
  5. Step 5: Solve for x
    x = 100,718,208.09/9,820.43
  6. Step 6: Final answer
    x = 10,255.99

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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.