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Finding the Fourth Proportional to 7,148.35, 9,861.39 and 4,631.28

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Solution

The fourth proportional to 7,148.35, 9,861.39 and 4,631.28 is: 6,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.35 : 9,861.39 = 4,631.28 : x
  2. Step 2: Convert to fraction form
    7,148.35/9,861.39 = 4,631.28/x
  3. Step 3: Cross multiply
    7,148.35x = 9,861.39 × 4,631.28
  4. Step 4: Simplify right side
    7,148.35x = 45,670,858.28
  5. Step 5: Solve for x
    x = 45,670,858.28/7,148.35
  6. Step 6: Final answer
    x = 6,389.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.