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Finding the Fourth Proportional to 9,151.83, 12,625.33 and 5,374.93

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Solution

The fourth proportional to 9,151.83, 12,625.33 and 5,374.93 is: 7,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.83 : 12,625.33 = 5,374.93 : x
  2. Step 2: Convert to fraction form
    9,151.83/12,625.33 = 5,374.93/x
  3. Step 3: Cross multiply
    9,151.83x = 12,625.33 × 5,374.93
  4. Step 4: Simplify right side
    9,151.83x = 67,860,264.98
  5. Step 5: Solve for x
    x = 67,860,264.98/9,151.83
  6. Step 6: Final answer
    x = 7,414.94

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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.