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Finding the Fourth Proportional to 7,031.12, 9,700.02 and 4,512.69

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Solution

The fourth proportional to 7,031.12, 9,700.02 and 4,512.69 is: 6,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.12 : 9,700.02 = 4,512.69 : x
  2. Step 2: Convert to fraction form
    7,031.12/9,700.02 = 4,512.69/x
  3. Step 3: Cross multiply
    7,031.12x = 9,700.02 × 4,512.69
  4. Step 4: Simplify right side
    7,031.12x = 43,773,183.25
  5. Step 5: Solve for x
    x = 43,773,183.25/7,031.12
  6. Step 6: Final answer
    x = 6,225.64

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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.