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Finding the Fourth Proportional to 9,464, 13,060.40 and 5,273.12

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Solution

The fourth proportional to 9,464, 13,060.40 and 5,273.12 is: 7,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 13,060.40 = 5,273.12 : x
  2. Step 2: Convert to fraction form
    9,464/13,060.40 = 5,273.12/x
  3. Step 3: Cross multiply
    9,464x = 13,060.40 × 5,273.12
  4. Step 4: Simplify right side
    9,464x = 68,869,056.45
  5. Step 5: Solve for x
    x = 68,869,056.45/9,464
  6. Step 6: Final answer
    x = 7,276.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.