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Finding the Fourth Proportional to 9,966.26, 13,653.84 and 9,592.58

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Solution

The fourth proportional to 9,966.26, 13,653.84 and 9,592.58 is: 13,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.26 : 13,653.84 = 9,592.58 : x
  2. Step 2: Convert to fraction form
    9,966.26/13,653.84 = 9,592.58/x
  3. Step 3: Cross multiply
    9,966.26x = 13,653.84 × 9,592.58
  4. Step 4: Simplify right side
    9,966.26x = 130,975,448.27
  5. Step 5: Solve for x
    x = 130,975,448.27/9,966.26
  6. Step 6: Final answer
    x = 13,141.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.