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Finding the Fourth Proportional to 9,605, 13,254.90 and 5,879

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Solution

The fourth proportional to 9,605, 13,254.90 and 5,879 is: 8,113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605 : 13,254.90 = 5,879 : x
  2. Step 2: Convert to fraction form
    9,605/13,254.90 = 5,879/x
  3. Step 3: Cross multiply
    9,605x = 13,254.90 × 5,879
  4. Step 4: Simplify right side
    9,605x = 77,925,557.10
  5. Step 5: Solve for x
    x = 77,925,557.10/9,605
  6. Step 6: Final answer
    x = 8,113.02

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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.