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Finding the Fourth Proportional to 9,670.69, 14,492.34 and 4,118.44

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Solution

The fourth proportional to 9,670.69, 14,492.34 and 4,118.44 is: 6,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.69 : 14,492.34 = 4,118.44 : x
  2. Step 2: Convert to fraction form
    9,670.69/14,492.34 = 4,118.44/x
  3. Step 3: Cross multiply
    9,670.69x = 14,492.34 × 4,118.44
  4. Step 4: Simplify right side
    9,670.69x = 59,685,832.75
  5. Step 5: Solve for x
    x = 59,685,832.75/9,670.69
  6. Step 6: Final answer
    x = 6,171.83

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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.