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Finding the Fourth Proportional to 9,642.15, 13,305.62 and 5,334.99

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Solution

The fourth proportional to 9,642.15, 13,305.62 and 5,334.99 is: 7,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.15 : 13,305.62 = 5,334.99 : x
  2. Step 2: Convert to fraction form
    9,642.15/13,305.62 = 5,334.99/x
  3. Step 3: Cross multiply
    9,642.15x = 13,305.62 × 5,334.99
  4. Step 4: Simplify right side
    9,642.15x = 70,985,322.97
  5. Step 5: Solve for x
    x = 70,985,322.97/9,642.15
  6. Step 6: Final answer
    x = 7,361.98

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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.