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Finding the Fourth Proportional to 10,485.75, 14,472.47 and 6,009.09

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Solution

The fourth proportional to 10,485.75, 14,472.47 and 6,009.09 is: 8,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.75 : 14,472.47 = 6,009.09 : x
  2. Step 2: Convert to fraction form
    10,485.75/14,472.47 = 6,009.09/x
  3. Step 3: Cross multiply
    10,485.75x = 14,472.47 × 6,009.09
  4. Step 4: Simplify right side
    10,485.75x = 86,966,335.50
  5. Step 5: Solve for x
    x = 86,966,335.50/10,485.75
  6. Step 6: Final answer
    x = 8,293.76

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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.