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Finding the Fourth Proportional to 9,443.32, 13,027.98 and 5,710.84

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Solution

The fourth proportional to 9,443.32, 13,027.98 and 5,710.84 is: 7,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.32 : 13,027.98 = 5,710.84 : x
  2. Step 2: Convert to fraction form
    9,443.32/13,027.98 = 5,710.84/x
  3. Step 3: Cross multiply
    9,443.32x = 13,027.98 × 5,710.84
  4. Step 4: Simplify right side
    9,443.32x = 74,400,709.30
  5. Step 5: Solve for x
    x = 74,400,709.30/9,443.32
  6. Step 6: Final answer
    x = 7,878.66

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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.