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Finding the Fourth Proportional to 9,366.30, 14,065.65 and 4,992.30

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Solution

The fourth proportional to 9,366.30, 14,065.65 and 4,992.30 is: 7,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.30 : 14,065.65 = 4,992.30 : x
  2. Step 2: Convert to fraction form
    9,366.30/14,065.65 = 4,992.30/x
  3. Step 3: Cross multiply
    9,366.30x = 14,065.65 × 4,992.30
  4. Step 4: Simplify right side
    9,366.30x = 70,219,944.50
  5. Step 5: Solve for x
    x = 70,219,944.50/9,366.30
  6. Step 6: Final answer
    x = 7,497.08

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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.