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Finding the Fourth Proportional to 7,023.60, 9,693.72 and 4,662

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Solution

The fourth proportional to 7,023.60, 9,693.72 and 4,662 is: 6,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.60 : 9,693.72 = 4,662 : x
  2. Step 2: Convert to fraction form
    7,023.60/9,693.72 = 4,662/x
  3. Step 3: Cross multiply
    7,023.60x = 9,693.72 × 4,662
  4. Step 4: Simplify right side
    7,023.60x = 45,192,122.64
  5. Step 5: Solve for x
    x = 45,192,122.64/7,023.60
  6. Step 6: Final answer
    x = 6,434.32

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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.