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Finding the Fourth Proportional to 9,992.30, 14,964.15 and 4,792.10

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Solution

The fourth proportional to 9,992.30, 14,964.15 and 4,792.10 is: 7,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.30 : 14,964.15 = 4,792.10 : x
  2. Step 2: Convert to fraction form
    9,992.30/14,964.15 = 4,792.10/x
  3. Step 3: Cross multiply
    9,992.30x = 14,964.15 × 4,792.10
  4. Step 4: Simplify right side
    9,992.30x = 71,709,703.22
  5. Step 5: Solve for x
    x = 71,709,703.22/9,992.30
  6. Step 6: Final answer
    x = 7,176.50

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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.