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Finding the Fourth Proportional to 9,416.61, 14,125.05 and 4,486.77

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Solution

The fourth proportional to 9,416.61, 14,125.05 and 4,486.77 is: 6,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.61 : 14,125.05 = 4,486.77 : x
  2. Step 2: Convert to fraction form
    9,416.61/14,125.05 = 4,486.77/x
  3. Step 3: Cross multiply
    9,416.61x = 14,125.05 × 4,486.77
  4. Step 4: Simplify right side
    9,416.61x = 63,375,850.59
  5. Step 5: Solve for x
    x = 63,375,850.59/9,416.61
  6. Step 6: Final answer
    x = 6,730.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.