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Finding the Fourth Proportional to 9,492.57, 14,240.07 and 3,648.42

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Solution

The fourth proportional to 9,492.57, 14,240.07 and 3,648.42 is: 5,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.57 : 14,240.07 = 3,648.42 : x
  2. Step 2: Convert to fraction form
    9,492.57/14,240.07 = 3,648.42/x
  3. Step 3: Cross multiply
    9,492.57x = 14,240.07 × 3,648.42
  4. Step 4: Simplify right side
    9,492.57x = 51,953,756.19
  5. Step 5: Solve for x
    x = 51,953,756.19/9,492.57
  6. Step 6: Final answer
    x = 5,473.10

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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.