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Finding the Fourth Proportional to 9,896.29, 13,656.85 and 5,420.32

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Solution

The fourth proportional to 9,896.29, 13,656.85 and 5,420.32 is: 7,480.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.29 : 13,656.85 = 5,420.32 : x
  2. Step 2: Convert to fraction form
    9,896.29/13,656.85 = 5,420.32/x
  3. Step 3: Cross multiply
    9,896.29x = 13,656.85 × 5,420.32
  4. Step 4: Simplify right side
    9,896.29x = 74,024,449.50
  5. Step 5: Solve for x
    x = 74,024,449.50/9,896.29
  6. Step 6: Final answer
    x = 7,480.02

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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.