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Finding the Fourth Proportional to 9,174.76, 13,762.91 and 2,935.67

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Solution

The fourth proportional to 9,174.76, 13,762.91 and 2,935.67 is: 4,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.76 : 13,762.91 = 2,935.67 : x
  2. Step 2: Convert to fraction form
    9,174.76/13,762.91 = 2,935.67/x
  3. Step 3: Cross multiply
    9,174.76x = 13,762.91 × 2,935.67
  4. Step 4: Simplify right side
    9,174.76x = 40,403,278.51
  5. Step 5: Solve for x
    x = 40,403,278.51/9,174.76
  6. Step 6: Final answer
    x = 4,403.74

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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.