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Finding the Fourth Proportional to 9,839.32, 13,574.21 and 6,856.88

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Solution

The fourth proportional to 9,839.32, 13,574.21 and 6,856.88 is: 9,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.32 : 13,574.21 = 6,856.88 : x
  2. Step 2: Convert to fraction form
    9,839.32/13,574.21 = 6,856.88/x
  3. Step 3: Cross multiply
    9,839.32x = 13,574.21 × 6,856.88
  4. Step 4: Simplify right side
    9,839.32x = 93,076,626.91
  5. Step 5: Solve for x
    x = 93,076,626.91/9,839.32
  6. Step 6: Final answer
    x = 9,459.66

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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.