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Finding the Fourth Proportional to 9,617.74, 14,426.45 and 4,935.04

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Solution

The fourth proportional to 9,617.74, 14,426.45 and 4,935.04 is: 7,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.74 : 14,426.45 = 4,935.04 : x
  2. Step 2: Convert to fraction form
    9,617.74/14,426.45 = 4,935.04/x
  3. Step 3: Cross multiply
    9,617.74x = 14,426.45 × 4,935.04
  4. Step 4: Simplify right side
    9,617.74x = 71,195,156.21
  5. Step 5: Solve for x
    x = 71,195,156.21/9,617.74
  6. Step 6: Final answer
    x = 7,402.49

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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.