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Finding the Fourth Proportional to 9,618.36, 14,429.50 and 3,695

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Solution

The fourth proportional to 9,618.36, 14,429.50 and 3,695 is: 5,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.36 : 14,429.50 = 3,695 : x
  2. Step 2: Convert to fraction form
    9,618.36/14,429.50 = 3,695/x
  3. Step 3: Cross multiply
    9,618.36x = 14,429.50 × 3,695
  4. Step 4: Simplify right side
    9,618.36x = 53,317,002.50
  5. Step 5: Solve for x
    x = 53,317,002.50/9,618.36
  6. Step 6: Final answer
    x = 5,543.25

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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.