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Finding the Fourth Proportional to 7,073.60, 9,762 and 3,929.76

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Solution

The fourth proportional to 7,073.60, 9,762 and 3,929.76 is: 5,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.60 : 9,762 = 3,929.76 : x
  2. Step 2: Convert to fraction form
    7,073.60/9,762 = 3,929.76/x
  3. Step 3: Cross multiply
    7,073.60x = 9,762 × 3,929.76
  4. Step 4: Simplify right side
    7,073.60x = 38,362,317.12
  5. Step 5: Solve for x
    x = 38,362,317.12/7,073.60
  6. Step 6: Final answer
    x = 5,423.31

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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.