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Finding the Fourth Proportional to 9,365.49, 12,924.16 and 5,116.43

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Solution

The fourth proportional to 9,365.49, 12,924.16 and 5,116.43 is: 7,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.49 : 12,924.16 = 5,116.43 : x
  2. Step 2: Convert to fraction form
    9,365.49/12,924.16 = 5,116.43/x
  3. Step 3: Cross multiply
    9,365.49x = 12,924.16 × 5,116.43
  4. Step 4: Simplify right side
    9,365.49x = 66,125,579.47
  5. Step 5: Solve for x
    x = 66,125,579.47/9,365.49
  6. Step 6: Final answer
    x = 7,060.56

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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.