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Finding the Fourth Proportional to 9,836.28, 14,683.05 and 9,104.49

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Solution

The fourth proportional to 9,836.28, 14,683.05 and 9,104.49 is: 13,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.28 : 14,683.05 = 9,104.49 : x
  2. Step 2: Convert to fraction form
    9,836.28/14,683.05 = 9,104.49/x
  3. Step 3: Cross multiply
    9,836.28x = 14,683.05 × 9,104.49
  4. Step 4: Simplify right side
    9,836.28x = 133,681,681.89
  5. Step 5: Solve for x
    x = 133,681,681.89/9,836.28
  6. Step 6: Final answer
    x = 13,590.67

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Why These Related Problems?

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