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Finding the Fourth Proportional to 9,416.56, 14,125.12 and 4,486.72

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Solution

The fourth proportional to 9,416.56, 14,125.12 and 4,486.72 is: 6,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.56 : 14,125.12 = 4,486.72 : x
  2. Step 2: Convert to fraction form
    9,416.56/14,125.12 = 4,486.72/x
  3. Step 3: Cross multiply
    9,416.56x = 14,125.12 × 4,486.72
  4. Step 4: Simplify right side
    9,416.56x = 63,375,458.41
  5. Step 5: Solve for x
    x = 63,375,458.41/9,416.56
  6. Step 6: Final answer
    x = 6,730.21

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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.