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Finding the Fourth Proportional to 9,508.06, 13,113.14 and 7,123.62

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Solution

The fourth proportional to 9,508.06, 13,113.14 and 7,123.62 is: 9,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.06 : 13,113.14 = 7,123.62 : x
  2. Step 2: Convert to fraction form
    9,508.06/13,113.14 = 7,123.62/x
  3. Step 3: Cross multiply
    9,508.06x = 13,113.14 × 7,123.62
  4. Step 4: Simplify right side
    9,508.06x = 93,413,026.37
  5. Step 5: Solve for x
    x = 93,413,026.37/9,508.06
  6. Step 6: Final answer
    x = 9,824.61

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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.