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Finding the Fourth Proportional to 9,732, 14,599.12 and 3,157.92

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Solution

The fourth proportional to 9,732, 14,599.12 and 3,157.92 is: 4,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732 : 14,599.12 = 3,157.92 : x
  2. Step 2: Convert to fraction form
    9,732/14,599.12 = 3,157.92/x
  3. Step 3: Cross multiply
    9,732x = 14,599.12 × 3,157.92
  4. Step 4: Simplify right side
    9,732x = 46,102,853.03
  5. Step 5: Solve for x
    x = 46,102,853.03/9,732
  6. Step 6: Final answer
    x = 4,737.24

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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.