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Finding the Fourth Proportional to 9,502.01, 13,111.31 and 5,309.45

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Solution

The fourth proportional to 9,502.01, 13,111.31 and 5,309.45 is: 7,326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.01 : 13,111.31 = 5,309.45 : x
  2. Step 2: Convert to fraction form
    9,502.01/13,111.31 = 5,309.45/x
  3. Step 3: Cross multiply
    9,502.01x = 13,111.31 × 5,309.45
  4. Step 4: Simplify right side
    9,502.01x = 69,613,818.33
  5. Step 5: Solve for x
    x = 69,613,818.33/9,502.01
  6. Step 6: Final answer
    x = 7,326.22

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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.