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Finding the Fourth Proportional to 12,309.75, 16,987.85 and 7,004.91

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Solution

The fourth proportional to 12,309.75, 16,987.85 and 7,004.91 is: 9,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.75 : 16,987.85 = 7,004.91 : x
  2. Step 2: Convert to fraction form
    12,309.75/16,987.85 = 7,004.91/x
  3. Step 3: Cross multiply
    12,309.75x = 16,987.85 × 7,004.91
  4. Step 4: Simplify right side
    12,309.75x = 118,998,360.34
  5. Step 5: Solve for x
    x = 118,998,360.34/12,309.75
  6. Step 6: Final answer
    x = 9,667.00

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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.