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Finding the Fourth Proportional to 9,230.40, 13,840.56 and 6,312

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Solution

The fourth proportional to 9,230.40, 13,840.56 and 6,312 is: 9,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.40 : 13,840.56 = 6,312 : x
  2. Step 2: Convert to fraction form
    9,230.40/13,840.56 = 6,312/x
  3. Step 3: Cross multiply
    9,230.40x = 13,840.56 × 6,312
  4. Step 4: Simplify right side
    9,230.40x = 87,361,614.72
  5. Step 5: Solve for x
    x = 87,361,614.72/9,230.40
  6. Step 6: Final answer
    x = 9,464.55

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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.