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Finding the Fourth Proportional to 9,707.83, 14,564.34 and 3,468.49

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Solution

The fourth proportional to 9,707.83, 14,564.34 and 3,468.49 is: 5,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.83 : 14,564.34 = 3,468.49 : x
  2. Step 2: Convert to fraction form
    9,707.83/14,564.34 = 3,468.49/x
  3. Step 3: Cross multiply
    9,707.83x = 14,564.34 × 3,468.49
  4. Step 4: Simplify right side
    9,707.83x = 50,516,267.65
  5. Step 5: Solve for x
    x = 50,516,267.65/9,707.83
  6. Step 6: Final answer
    x = 5,203.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.