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Finding the Fourth Proportional to 10,009.08, 13,799.70 and 6,859.80

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Solution

The fourth proportional to 10,009.08, 13,799.70 and 6,859.80 is: 9,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.08 : 13,799.70 = 6,859.80 : x
  2. Step 2: Convert to fraction form
    10,009.08/13,799.70 = 6,859.80/x
  3. Step 3: Cross multiply
    10,009.08x = 13,799.70 × 6,859.80
  4. Step 4: Simplify right side
    10,009.08x = 94,663,182.06
  5. Step 5: Solve for x
    x = 94,663,182.06/10,009.08
  6. Step 6: Final answer
    x = 9,457.73

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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.