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Finding the Fourth Proportional to 9,492.24, 13,098.31 and 5,514.19

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Solution

The fourth proportional to 9,492.24, 13,098.31 and 5,514.19 is: 7,609.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.24 : 13,098.31 = 5,514.19 : x
  2. Step 2: Convert to fraction form
    9,492.24/13,098.31 = 5,514.19/x
  3. Step 3: Cross multiply
    9,492.24x = 13,098.31 × 5,514.19
  4. Step 4: Simplify right side
    9,492.24x = 72,226,570.02
  5. Step 5: Solve for x
    x = 72,226,570.02/9,492.24
  6. Step 6: Final answer
    x = 7,609.01

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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.