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Finding the Fourth Proportional to 9,657.99, 14,492.12 and 3,814.65

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Solution

The fourth proportional to 9,657.99, 14,492.12 and 3,814.65 is: 5,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.99 : 14,492.12 = 3,814.65 : x
  2. Step 2: Convert to fraction form
    9,657.99/14,492.12 = 3,814.65/x
  3. Step 3: Cross multiply
    9,657.99x = 14,492.12 × 3,814.65
  4. Step 4: Simplify right side
    9,657.99x = 55,282,346.48
  5. Step 5: Solve for x
    x = 55,282,346.48/9,657.99
  6. Step 6: Final answer
    x = 5,724.00

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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.