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Finding the Fourth Proportional to 9,665.64, 14,497.11 and 3,092.40

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Solution

The fourth proportional to 9,665.64, 14,497.11 and 3,092.40 is: 4,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.64 : 14,497.11 = 3,092.40 : x
  2. Step 2: Convert to fraction form
    9,665.64/14,497.11 = 3,092.40/x
  3. Step 3: Cross multiply
    9,665.64x = 14,497.11 × 3,092.40
  4. Step 4: Simplify right side
    9,665.64x = 44,830,862.96
  5. Step 5: Solve for x
    x = 44,830,862.96/9,665.64
  6. Step 6: Final answer
    x = 4,638.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.