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Finding the Fourth Proportional to 9,200.98, 12,700.14 and 5,423.88

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Solution

The fourth proportional to 9,200.98, 12,700.14 and 5,423.88 is: 7,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.98 : 12,700.14 = 5,423.88 : x
  2. Step 2: Convert to fraction form
    9,200.98/12,700.14 = 5,423.88/x
  3. Step 3: Cross multiply
    9,200.98x = 12,700.14 × 5,423.88
  4. Step 4: Simplify right side
    9,200.98x = 68,884,035.34
  5. Step 5: Solve for x
    x = 68,884,035.34/9,200.98
  6. Step 6: Final answer
    x = 7,486.60

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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.