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Finding the Fourth Proportional to 9,792.59, 14,689.71 and 2,772.63

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Solution

The fourth proportional to 9,792.59, 14,689.71 and 2,772.63 is: 4,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.59 : 14,689.71 = 2,772.63 : x
  2. Step 2: Convert to fraction form
    9,792.59/14,689.71 = 2,772.63/x
  3. Step 3: Cross multiply
    9,792.59x = 14,689.71 × 2,772.63
  4. Step 4: Simplify right side
    9,792.59x = 40,729,130.64
  5. Step 5: Solve for x
    x = 40,729,130.64/9,792.59
  6. Step 6: Final answer
    x = 4,159.18

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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.