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Finding the Fourth Proportional to 9,850.92, 14,782.53 and 6,566.32

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Solution

The fourth proportional to 9,850.92, 14,782.53 and 6,566.32 is: 9,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.92 : 14,782.53 = 6,566.32 : x
  2. Step 2: Convert to fraction form
    9,850.92/14,782.53 = 6,566.32/x
  3. Step 3: Cross multiply
    9,850.92x = 14,782.53 × 6,566.32
  4. Step 4: Simplify right side
    9,850.92x = 97,066,715.65
  5. Step 5: Solve for x
    x = 97,066,715.65/9,850.92
  6. Step 6: Final answer
    x = 9,853.57

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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.