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Finding the Fourth Proportional to 11,362.74, 15,642.27 and 9,370.14

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Solution

The fourth proportional to 11,362.74, 15,642.27 and 9,370.14 is: 12,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.74 : 15,642.27 = 9,370.14 : x
  2. Step 2: Convert to fraction form
    11,362.74/15,642.27 = 9,370.14/x
  3. Step 3: Cross multiply
    11,362.74x = 15,642.27 × 9,370.14
  4. Step 4: Simplify right side
    11,362.74x = 146,570,259.82
  5. Step 5: Solve for x
    x = 146,570,259.82/11,362.74
  6. Step 6: Final answer
    x = 12,899.20

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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.