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Finding the Fourth Proportional to 9,425.95, 14,117.26 and 5,467.41

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Solution

The fourth proportional to 9,425.95, 14,117.26 and 5,467.41 is: 8,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.95 : 14,117.26 = 5,467.41 : x
  2. Step 2: Convert to fraction form
    9,425.95/14,117.26 = 5,467.41/x
  3. Step 3: Cross multiply
    9,425.95x = 14,117.26 × 5,467.41
  4. Step 4: Simplify right side
    9,425.95x = 77,184,848.50
  5. Step 5: Solve for x
    x = 77,184,848.50/9,425.95
  6. Step 6: Final answer
    x = 8,188.55

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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.