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Finding the Fourth Proportional to 9,232.81, 13,830.72 and 4,295.59

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Solution

The fourth proportional to 9,232.81, 13,830.72 and 4,295.59 is: 6,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.81 : 13,830.72 = 4,295.59 : x
  2. Step 2: Convert to fraction form
    9,232.81/13,830.72 = 4,295.59/x
  3. Step 3: Cross multiply
    9,232.81x = 13,830.72 × 4,295.59
  4. Step 4: Simplify right side
    9,232.81x = 59,411,102.52
  5. Step 5: Solve for x
    x = 59,411,102.52/9,232.81
  6. Step 6: Final answer
    x = 6,434.78

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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.