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Finding the Fourth Proportional to 9,182.90, 12,677.60 and 7,025.38

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Solution

The fourth proportional to 9,182.90, 12,677.60 and 7,025.38 is: 9,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.90 : 12,677.60 = 7,025.38 : x
  2. Step 2: Convert to fraction form
    9,182.90/12,677.60 = 7,025.38/x
  3. Step 3: Cross multiply
    9,182.90x = 12,677.60 × 7,025.38
  4. Step 4: Simplify right side
    9,182.90x = 89,064,964.55
  5. Step 5: Solve for x
    x = 89,064,964.55/9,182.90
  6. Step 6: Final answer
    x = 9,699.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.