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Finding the Fourth Proportional to 9,743.70, 14,605.95 and 4,814.10

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Solution

The fourth proportional to 9,743.70, 14,605.95 and 4,814.10 is: 7,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.70 : 14,605.95 = 4,814.10 : x
  2. Step 2: Convert to fraction form
    9,743.70/14,605.95 = 4,814.10/x
  3. Step 3: Cross multiply
    9,743.70x = 14,605.95 × 4,814.10
  4. Step 4: Simplify right side
    9,743.70x = 70,314,503.90
  5. Step 5: Solve for x
    x = 70,314,503.90/9,743.70
  6. Step 6: Final answer
    x = 7,216.41

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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.