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Finding the Fourth Proportional to 9,508.16, 14,258.08 and 4,511.96

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Solution

The fourth proportional to 9,508.16, 14,258.08 and 4,511.96 is: 6,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.16 : 14,258.08 = 4,511.96 : x
  2. Step 2: Convert to fraction form
    9,508.16/14,258.08 = 4,511.96/x
  3. Step 3: Cross multiply
    9,508.16x = 14,258.08 × 4,511.96
  4. Step 4: Simplify right side
    9,508.16x = 64,331,874.45
  5. Step 5: Solve for x
    x = 64,331,874.45/9,508.16
  6. Step 6: Final answer
    x = 6,765.96

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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.