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Finding the Fourth Proportional to 9,429.77, 13,013.16 and 5,895.07

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Solution

The fourth proportional to 9,429.77, 13,013.16 and 5,895.07 is: 8,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.77 : 13,013.16 = 5,895.07 : x
  2. Step 2: Convert to fraction form
    9,429.77/13,013.16 = 5,895.07/x
  3. Step 3: Cross multiply
    9,429.77x = 13,013.16 × 5,895.07
  4. Step 4: Simplify right side
    9,429.77x = 76,713,489.12
  5. Step 5: Solve for x
    x = 76,713,489.12/9,429.77
  6. Step 6: Final answer
    x = 8,135.24

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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.