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Finding the Fourth Proportional to 9,794.20, 14,693.73 and 4,594

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Solution

The fourth proportional to 9,794.20, 14,693.73 and 4,594 is: 6,892.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.20 : 14,693.73 = 4,594 : x
  2. Step 2: Convert to fraction form
    9,794.20/14,693.73 = 4,594/x
  3. Step 3: Cross multiply
    9,794.20x = 14,693.73 × 4,594
  4. Step 4: Simplify right side
    9,794.20x = 67,502,995.62
  5. Step 5: Solve for x
    x = 67,502,995.62/9,794.20
  6. Step 6: Final answer
    x = 6,892.14

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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.