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Finding the Fourth Proportional to 10,095.95, 13,933.07 and 6,117.44

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Solution

The fourth proportional to 10,095.95, 13,933.07 and 6,117.44 is: 8,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.95 : 13,933.07 = 6,117.44 : x
  2. Step 2: Convert to fraction form
    10,095.95/13,933.07 = 6,117.44/x
  3. Step 3: Cross multiply
    10,095.95x = 13,933.07 × 6,117.44
  4. Step 4: Simplify right side
    10,095.95x = 85,234,619.49
  5. Step 5: Solve for x
    x = 85,234,619.49/10,095.95
  6. Step 6: Final answer
    x = 8,442.46

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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.