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Finding the Fourth Proportional to 9,507.77, 13,125.69 and 5,923.82

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Solution

The fourth proportional to 9,507.77, 13,125.69 and 5,923.82 is: 8,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.77 : 13,125.69 = 5,923.82 : x
  2. Step 2: Convert to fraction form
    9,507.77/13,125.69 = 5,923.82/x
  3. Step 3: Cross multiply
    9,507.77x = 13,125.69 × 5,923.82
  4. Step 4: Simplify right side
    9,507.77x = 77,754,159.31
  5. Step 5: Solve for x
    x = 77,754,159.31/9,507.77
  6. Step 6: Final answer
    x = 8,177.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.