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Finding the Fourth Proportional to 9,468.32, 14,192.88 and 4,530.72

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Solution

The fourth proportional to 9,468.32, 14,192.88 and 4,530.72 is: 6,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.32 : 14,192.88 = 4,530.72 : x
  2. Step 2: Convert to fraction form
    9,468.32/14,192.88 = 4,530.72/x
  3. Step 3: Cross multiply
    9,468.32x = 14,192.88 × 4,530.72
  4. Step 4: Simplify right side
    9,468.32x = 64,303,965.27
  5. Step 5: Solve for x
    x = 64,303,965.27/9,468.32
  6. Step 6: Final answer
    x = 6,791.49

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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.