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Finding the Fourth Proportional to 9,605.76, 14,398.74 and 3,681.27

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Solution

The fourth proportional to 9,605.76, 14,398.74 and 3,681.27 is: 5,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.76 : 14,398.74 = 3,681.27 : x
  2. Step 2: Convert to fraction form
    9,605.76/14,398.74 = 3,681.27/x
  3. Step 3: Cross multiply
    9,605.76x = 14,398.74 × 3,681.27
  4. Step 4: Simplify right side
    9,605.76x = 53,005,649.60
  5. Step 5: Solve for x
    x = 53,005,649.60/9,605.76
  6. Step 6: Final answer
    x = 5,518.11

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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.