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Finding the Fourth Proportional to 9,792.66, 14,690.61 and 4,862.46

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Solution

The fourth proportional to 9,792.66, 14,690.61 and 4,862.46 is: 7,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.66 : 14,690.61 = 4,862.46 : x
  2. Step 2: Convert to fraction form
    9,792.66/14,690.61 = 4,862.46/x
  3. Step 3: Cross multiply
    9,792.66x = 14,690.61 × 4,862.46
  4. Step 4: Simplify right side
    9,792.66x = 71,432,503.50
  5. Step 5: Solve for x
    x = 71,432,503.50/9,792.66
  6. Step 6: Final answer
    x = 7,294.49

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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.