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Finding the Fourth Proportional to 9,148.26, 12,619.98 and 6,123.51

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Solution

The fourth proportional to 9,148.26, 12,619.98 and 6,123.51 is: 8,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.26 : 12,619.98 = 6,123.51 : x
  2. Step 2: Convert to fraction form
    9,148.26/12,619.98 = 6,123.51/x
  3. Step 3: Cross multiply
    9,148.26x = 12,619.98 × 6,123.51
  4. Step 4: Simplify right side
    9,148.26x = 77,278,573.73
  5. Step 5: Solve for x
    x = 77,278,573.73/9,148.26
  6. Step 6: Final answer
    x = 8,447.35

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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.