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Finding the Fourth Proportional to 10,484.88, 14,469.53 and 6,009.50

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Solution

The fourth proportional to 10,484.88, 14,469.53 and 6,009.50 is: 8,293.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.88 : 14,469.53 = 6,009.50 : x
  2. Step 2: Convert to fraction form
    10,484.88/14,469.53 = 6,009.50/x
  3. Step 3: Cross multiply
    10,484.88x = 14,469.53 × 6,009.50
  4. Step 4: Simplify right side
    10,484.88x = 86,954,599.07
  5. Step 5: Solve for x
    x = 86,954,599.07/10,484.88
  6. Step 6: Final answer
    x = 8,293.33

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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.