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Finding the Fourth Proportional to 9,814.24, 14,713.04 and 4,263.40

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Solution

The fourth proportional to 9,814.24, 14,713.04 and 4,263.40 is: 6,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.24 : 14,713.04 = 4,263.40 : x
  2. Step 2: Convert to fraction form
    9,814.24/14,713.04 = 4,263.40/x
  3. Step 3: Cross multiply
    9,814.24x = 14,713.04 × 4,263.40
  4. Step 4: Simplify right side
    9,814.24x = 62,727,574.74
  5. Step 5: Solve for x
    x = 62,727,574.74/9,814.24
  6. Step 6: Final answer
    x = 6,391.49

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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.