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Finding the Fourth Proportional to 9,487.48, 13,094.04 and 5,296

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Solution

The fourth proportional to 9,487.48, 13,094.04 and 5,296 is: 7,309.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.48 : 13,094.04 = 5,296 : x
  2. Step 2: Convert to fraction form
    9,487.48/13,094.04 = 5,296/x
  3. Step 3: Cross multiply
    9,487.48x = 13,094.04 × 5,296
  4. Step 4: Simplify right side
    9,487.48x = 69,346,035.84
  5. Step 5: Solve for x
    x = 69,346,035.84/9,487.48
  6. Step 6: Final answer
    x = 7,309.22

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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.