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Finding the Fourth Proportional to 9,661.65, 14,405.93 and 9,486.69

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Solution

The fourth proportional to 9,661.65, 14,405.93 and 9,486.69 is: 14,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.65 : 14,405.93 = 9,486.69 : x
  2. Step 2: Convert to fraction form
    9,661.65/14,405.93 = 9,486.69/x
  3. Step 3: Cross multiply
    9,661.65x = 14,405.93 × 9,486.69
  4. Step 4: Simplify right side
    9,661.65x = 136,664,592.07
  5. Step 5: Solve for x
    x = 136,664,592.07/9,661.65
  6. Step 6: Final answer
    x = 14,145.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.