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Finding the Fourth Proportional to 9,896.64, 13,657.16 and 5,420.18

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Solution

The fourth proportional to 9,896.64, 13,657.16 and 5,420.18 is: 7,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.64 : 13,657.16 = 5,420.18 : x
  2. Step 2: Convert to fraction form
    9,896.64/13,657.16 = 5,420.18/x
  3. Step 3: Cross multiply
    9,896.64x = 13,657.16 × 5,420.18
  4. Step 4: Simplify right side
    9,896.64x = 74,024,265.49
  5. Step 5: Solve for x
    x = 74,024,265.49/9,896.64
  6. Step 6: Final answer
    x = 7,479.74

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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.