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Finding the Fourth Proportional to 9,885.92, 14,833 and 4,336.40

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Solution

The fourth proportional to 9,885.92, 14,833 and 4,336.40 is: 6,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.92 : 14,833 = 4,336.40 : x
  2. Step 2: Convert to fraction form
    9,885.92/14,833 = 4,336.40/x
  3. Step 3: Cross multiply
    9,885.92x = 14,833 × 4,336.40
  4. Step 4: Simplify right side
    9,885.92x = 64,321,821.20
  5. Step 5: Solve for x
    x = 64,321,821.20/9,885.92
  6. Step 6: Final answer
    x = 6,506.41

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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.