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Finding the Fourth Proportional to 9,502.07, 14,263.13 and 7,767.05

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Solution

The fourth proportional to 9,502.07, 14,263.13 and 7,767.05 is: 11,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.07 : 14,263.13 = 7,767.05 : x
  2. Step 2: Convert to fraction form
    9,502.07/14,263.13 = 7,767.05/x
  3. Step 3: Cross multiply
    9,502.07x = 14,263.13 × 7,767.05
  4. Step 4: Simplify right side
    9,502.07x = 110,782,443.87
  5. Step 5: Solve for x
    x = 110,782,443.87/9,502.07
  6. Step 6: Final answer
    x = 11,658.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.