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Finding the Fourth Proportional to 9,799.36, 13,513.76 and 6,445

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Solution

The fourth proportional to 9,799.36, 13,513.76 and 6,445 is: 8,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.36 : 13,513.76 = 6,445 : x
  2. Step 2: Convert to fraction form
    9,799.36/13,513.76 = 6,445/x
  3. Step 3: Cross multiply
    9,799.36x = 13,513.76 × 6,445
  4. Step 4: Simplify right side
    9,799.36x = 87,096,183.20
  5. Step 5: Solve for x
    x = 87,096,183.20/9,799.36
  6. Step 6: Final answer
    x = 8,887.95

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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.