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Finding the Fourth Proportional to 9,803.42, 13,523.70 and 6,262.90

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Solution

The fourth proportional to 9,803.42, 13,523.70 and 6,262.90 is: 8,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.42 : 13,523.70 = 6,262.90 : x
  2. Step 2: Convert to fraction form
    9,803.42/13,523.70 = 6,262.90/x
  3. Step 3: Cross multiply
    9,803.42x = 13,523.70 × 6,262.90
  4. Step 4: Simplify right side
    9,803.42x = 84,697,580.73
  5. Step 5: Solve for x
    x = 84,697,580.73/9,803.42
  6. Step 6: Final answer
    x = 8,639.60

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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.