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Finding the Fourth Proportional to 9,606.17, 13,254.90 and 5,356.31

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Solution

The fourth proportional to 9,606.17, 13,254.90 and 5,356.31 is: 7,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.17 : 13,254.90 = 5,356.31 : x
  2. Step 2: Convert to fraction form
    9,606.17/13,254.90 = 5,356.31/x
  3. Step 3: Cross multiply
    9,606.17x = 13,254.90 × 5,356.31
  4. Step 4: Simplify right side
    9,606.17x = 70,997,287.14
  5. Step 5: Solve for x
    x = 70,997,287.14/9,606.17
  6. Step 6: Final answer
    x = 7,390.80

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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.