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Finding the Fourth Proportional to 9,197.02, 12,693.23 and 5,164.30

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Solution

The fourth proportional to 9,197.02, 12,693.23 and 5,164.30 is: 7,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.02 : 12,693.23 = 5,164.30 : x
  2. Step 2: Convert to fraction form
    9,197.02/12,693.23 = 5,164.30/x
  3. Step 3: Cross multiply
    9,197.02x = 12,693.23 × 5,164.30
  4. Step 4: Simplify right side
    9,197.02x = 65,551,647.69
  5. Step 5: Solve for x
    x = 65,551,647.69/9,197.02
  6. Step 6: Final answer
    x = 7,127.49

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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.