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Finding the Fourth Proportional to 9,232.56, 13,830.35 and 4,295.34

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Solution

The fourth proportional to 9,232.56, 13,830.35 and 4,295.34 is: 6,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.56 : 13,830.35 = 4,295.34 : x
  2. Step 2: Convert to fraction form
    9,232.56/13,830.35 = 4,295.34/x
  3. Step 3: Cross multiply
    9,232.56x = 13,830.35 × 4,295.34
  4. Step 4: Simplify right side
    9,232.56x = 59,406,034.09
  5. Step 5: Solve for x
    x = 59,406,034.09/9,232.56
  6. Step 6: Final answer
    x = 6,434.41

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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.