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Finding the Fourth Proportional to 9,767.51, 14,651.36 and 7,832.01

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Solution

The fourth proportional to 9,767.51, 14,651.36 and 7,832.01 is: 11,748.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.51 : 14,651.36 = 7,832.01 : x
  2. Step 2: Convert to fraction form
    9,767.51/14,651.36 = 7,832.01/x
  3. Step 3: Cross multiply
    9,767.51x = 14,651.36 × 7,832.01
  4. Step 4: Simplify right side
    9,767.51x = 114,749,598.03
  5. Step 5: Solve for x
    x = 114,749,598.03/9,767.51
  6. Step 6: Final answer
    x = 11,748.09

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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.