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Finding the Fourth Proportional to 10,433.51, 14,396.84 and 6,454.69

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Solution

The fourth proportional to 10,433.51, 14,396.84 and 6,454.69 is: 8,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.51 : 14,396.84 = 6,454.69 : x
  2. Step 2: Convert to fraction form
    10,433.51/14,396.84 = 6,454.69/x
  3. Step 3: Cross multiply
    10,433.51x = 14,396.84 × 6,454.69
  4. Step 4: Simplify right side
    10,433.51x = 92,927,095.12
  5. Step 5: Solve for x
    x = 92,927,095.12/10,433.51
  6. Step 6: Final answer
    x = 8,906.60

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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.