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Finding the Fourth Proportional to 6,336.08, 9,464.60 and 4,695.84

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Solution

The fourth proportional to 6,336.08, 9,464.60 and 4,695.84 is: 7,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.08 : 9,464.60 = 4,695.84 : x
  2. Step 2: Convert to fraction form
    6,336.08/9,464.60 = 4,695.84/x
  3. Step 3: Cross multiply
    6,336.08x = 9,464.60 × 4,695.84
  4. Step 4: Simplify right side
    6,336.08x = 44,444,247.26
  5. Step 5: Solve for x
    x = 44,444,247.26/6,336.08
  6. Step 6: Final answer
    x = 7,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.