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Finding the Fourth Proportional to 9,896.09, 13,656.60 and 5,420.13

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Solution

The fourth proportional to 9,896.09, 13,656.60 and 5,420.13 is: 7,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.09 : 13,656.60 = 5,420.13 : x
  2. Step 2: Convert to fraction form
    9,896.09/13,656.60 = 5,420.13/x
  3. Step 3: Cross multiply
    9,896.09x = 13,656.60 × 5,420.13
  4. Step 4: Simplify right side
    9,896.09x = 74,020,547.36
  5. Step 5: Solve for x
    x = 74,020,547.36/9,896.09
  6. Step 6: Final answer
    x = 7,479.78

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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.