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Finding the Fourth Proportional to 9,576.42, 13,215.04 and 5,327.46

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Solution

The fourth proportional to 9,576.42, 13,215.04 and 5,327.46 is: 7,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.42 : 13,215.04 = 5,327.46 : x
  2. Step 2: Convert to fraction form
    9,576.42/13,215.04 = 5,327.46/x
  3. Step 3: Cross multiply
    9,576.42x = 13,215.04 × 5,327.46
  4. Step 4: Simplify right side
    9,576.42x = 70,402,597.00
  5. Step 5: Solve for x
    x = 70,402,597.00/9,576.42
  6. Step 6: Final answer
    x = 7,351.66

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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.