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Finding the Fourth Proportional to 10,199.96, 14,074.26 and 6,009.02

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Solution

The fourth proportional to 10,199.96, 14,074.26 and 6,009.02 is: 8,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.96 : 14,074.26 = 6,009.02 : x
  2. Step 2: Convert to fraction form
    10,199.96/14,074.26 = 6,009.02/x
  3. Step 3: Cross multiply
    10,199.96x = 14,074.26 × 6,009.02
  4. Step 4: Simplify right side
    10,199.96x = 84,572,509.83
  5. Step 5: Solve for x
    x = 84,572,509.83/10,199.96
  6. Step 6: Final answer
    x = 8,291.46

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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.