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Finding the Fourth Proportional to 7,031.53, 9,704.76 and 5,350.37

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Solution

The fourth proportional to 7,031.53, 9,704.76 and 5,350.37 is: 7,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.53 : 9,704.76 = 5,350.37 : x
  2. Step 2: Convert to fraction form
    7,031.53/9,704.76 = 5,350.37/x
  3. Step 3: Cross multiply
    7,031.53x = 9,704.76 × 5,350.37
  4. Step 4: Simplify right side
    7,031.53x = 51,924,056.76
  5. Step 5: Solve for x
    x = 51,924,056.76/7,031.53
  6. Step 6: Final answer
    x = 7,384.46

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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.