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Finding the Fourth Proportional to 9,232.34, 13,857.73 and 4,305.45

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Solution

The fourth proportional to 9,232.34, 13,857.73 and 4,305.45 is: 6,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.34 : 13,857.73 = 4,305.45 : x
  2. Step 2: Convert to fraction form
    9,232.34/13,857.73 = 4,305.45/x
  3. Step 3: Cross multiply
    9,232.34x = 13,857.73 × 4,305.45
  4. Step 4: Simplify right side
    9,232.34x = 59,663,742.10
  5. Step 5: Solve for x
    x = 59,663,742.10/9,232.34
  6. Step 6: Final answer
    x = 6,462.47

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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.