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Finding the Fourth Proportional to 9,417.57, 12,998.04 and 6,230.93

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Solution

The fourth proportional to 9,417.57, 12,998.04 and 6,230.93 is: 8,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.57 : 12,998.04 = 6,230.93 : x
  2. Step 2: Convert to fraction form
    9,417.57/12,998.04 = 6,230.93/x
  3. Step 3: Cross multiply
    9,417.57x = 12,998.04 × 6,230.93
  4. Step 4: Simplify right side
    9,417.57x = 80,989,877.38
  5. Step 5: Solve for x
    x = 80,989,877.38/9,417.57
  6. Step 6: Final answer
    x = 8,599.87

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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.