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Finding the Fourth Proportional to 9,492.74, 13,099 and 5,514.69

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Solution

The fourth proportional to 9,492.74, 13,099 and 5,514.69 is: 7,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.74 : 13,099 = 5,514.69 : x
  2. Step 2: Convert to fraction form
    9,492.74/13,099 = 5,514.69/x
  3. Step 3: Cross multiply
    9,492.74x = 13,099 × 5,514.69
  4. Step 4: Simplify right side
    9,492.74x = 72,236,924.31
  5. Step 5: Solve for x
    x = 72,236,924.31/9,492.74
  6. Step 6: Final answer
    x = 7,609.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.