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Finding the Fourth Proportional to 9,579.97, 14,374.36 and 4,312.14

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Solution

The fourth proportional to 9,579.97, 14,374.36 and 4,312.14 is: 6,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.97 : 14,374.36 = 4,312.14 : x
  2. Step 2: Convert to fraction form
    9,579.97/14,374.36 = 4,312.14/x
  3. Step 3: Cross multiply
    9,579.97x = 14,374.36 × 4,312.14
  4. Step 4: Simplify right side
    9,579.97x = 61,984,204.22
  5. Step 5: Solve for x
    x = 61,984,204.22/9,579.97
  6. Step 6: Final answer
    x = 6,470.19

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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.