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Finding the Fourth Proportional to 9,896.47, 13,656.65 and 5,420.24

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Solution

The fourth proportional to 9,896.47, 13,656.65 and 5,420.24 is: 7,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.47 : 13,656.65 = 5,420.24 : x
  2. Step 2: Convert to fraction form
    9,896.47/13,656.65 = 5,420.24/x
  3. Step 3: Cross multiply
    9,896.47x = 13,656.65 × 5,420.24
  4. Step 4: Simplify right side
    9,896.47x = 74,022,327.64
  5. Step 5: Solve for x
    x = 74,022,327.64/9,896.47
  6. Step 6: Final answer
    x = 7,479.67

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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.