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Finding the Fourth Proportional to 10,459.56, 14,425.71 and 9,197.94

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Solution

The fourth proportional to 10,459.56, 14,425.71 and 9,197.94 is: 12,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.56 : 14,425.71 = 9,197.94 : x
  2. Step 2: Convert to fraction form
    10,459.56/14,425.71 = 9,197.94/x
  3. Step 3: Cross multiply
    10,459.56x = 14,425.71 × 9,197.94
  4. Step 4: Simplify right side
    10,459.56x = 132,686,815.04
  5. Step 5: Solve for x
    x = 132,686,815.04/10,459.56
  6. Step 6: Final answer
    x = 12,685.70

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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.