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Finding the Fourth Proportional to 9,661.58, 14,507.08 and 9,185.84

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Solution

The fourth proportional to 9,661.58, 14,507.08 and 9,185.84 is: 13,792.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.58 : 14,507.08 = 9,185.84 : x
  2. Step 2: Convert to fraction form
    9,661.58/14,507.08 = 9,185.84/x
  3. Step 3: Cross multiply
    9,661.58x = 14,507.08 × 9,185.84
  4. Step 4: Simplify right side
    9,661.58x = 133,259,669.82
  5. Step 5: Solve for x
    x = 133,259,669.82/9,661.58
  6. Step 6: Final answer
    x = 13,792.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.