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Finding the Fourth Proportional to 9,508.93, 13,123.56 and 5,877.22

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Solution

The fourth proportional to 9,508.93, 13,123.56 and 5,877.22 is: 8,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.93 : 13,123.56 = 5,877.22 : x
  2. Step 2: Convert to fraction form
    9,508.93/13,123.56 = 5,877.22/x
  3. Step 3: Cross multiply
    9,508.93x = 13,123.56 × 5,877.22
  4. Step 4: Simplify right side
    9,508.93x = 77,130,040.27
  5. Step 5: Solve for x
    x = 77,130,040.27/9,508.93
  6. Step 6: Final answer
    x = 8,111.33

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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.