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Finding the Fourth Proportional to 9,114.12, 12,583.08 and 6,604.38

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Solution

The fourth proportional to 9,114.12, 12,583.08 and 6,604.38 is: 9,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.12 : 12,583.08 = 6,604.38 : x
  2. Step 2: Convert to fraction form
    9,114.12/12,583.08 = 6,604.38/x
  3. Step 3: Cross multiply
    9,114.12x = 12,583.08 × 6,604.38
  4. Step 4: Simplify right side
    9,114.12x = 83,103,441.89
  5. Step 5: Solve for x
    x = 83,103,441.89/9,114.12
  6. Step 6: Final answer
    x = 9,118.10

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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.