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Finding the Fourth Proportional to 9,798.06, 13,523.46 and 6,024.46

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Solution

The fourth proportional to 9,798.06, 13,523.46 and 6,024.46 is: 8,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.06 : 13,523.46 = 6,024.46 : x
  2. Step 2: Convert to fraction form
    9,798.06/13,523.46 = 6,024.46/x
  3. Step 3: Cross multiply
    9,798.06x = 13,523.46 × 6,024.46
  4. Step 4: Simplify right side
    9,798.06x = 81,471,513.71
  5. Step 5: Solve for x
    x = 81,471,513.71/9,798.06
  6. Step 6: Final answer
    x = 8,315.07

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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.