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Finding the Fourth Proportional to 9,673.79, 14,508.24 and 3,748.64

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Solution

The fourth proportional to 9,673.79, 14,508.24 and 3,748.64 is: 5,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.79 : 14,508.24 = 3,748.64 : x
  2. Step 2: Convert to fraction form
    9,673.79/14,508.24 = 3,748.64/x
  3. Step 3: Cross multiply
    9,673.79x = 14,508.24 × 3,748.64
  4. Step 4: Simplify right side
    9,673.79x = 54,386,096.25
  5. Step 5: Solve for x
    x = 54,386,096.25/9,673.79
  6. Step 6: Final answer
    x = 5,622.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.