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Finding the Fourth Proportional to 10,069.06, 13,904.73 and 6,490.30

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Solution

The fourth proportional to 10,069.06, 13,904.73 and 6,490.30 is: 8,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.06 : 13,904.73 = 6,490.30 : x
  2. Step 2: Convert to fraction form
    10,069.06/13,904.73 = 6,490.30/x
  3. Step 3: Cross multiply
    10,069.06x = 13,904.73 × 6,490.30
  4. Step 4: Simplify right side
    10,069.06x = 90,245,869.12
  5. Step 5: Solve for x
    x = 90,245,869.12/10,069.06
  6. Step 6: Final answer
    x = 8,962.69

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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.