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Finding the Fourth Proportional to 10,154.15, 13,988.61 and 9,653.87

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Solution

The fourth proportional to 10,154.15, 13,988.61 and 9,653.87 is: 13,299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.15 : 13,988.61 = 9,653.87 : x
  2. Step 2: Convert to fraction form
    10,154.15/13,988.61 = 9,653.87/x
  3. Step 3: Cross multiply
    10,154.15x = 13,988.61 × 9,653.87
  4. Step 4: Simplify right side
    10,154.15x = 135,044,222.42
  5. Step 5: Solve for x
    x = 135,044,222.42/10,154.15
  6. Step 6: Final answer
    x = 13,299.41

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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.