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Finding the Fourth Proportional to 9,145.10, 12,618.57 and 5,368.42

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Solution

The fourth proportional to 9,145.10, 12,618.57 and 5,368.42 is: 7,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.10 : 12,618.57 = 5,368.42 : x
  2. Step 2: Convert to fraction form
    9,145.10/12,618.57 = 5,368.42/x
  3. Step 3: Cross multiply
    9,145.10x = 12,618.57 × 5,368.42
  4. Step 4: Simplify right side
    9,145.10x = 67,741,756.72
  5. Step 5: Solve for x
    x = 67,741,756.72/9,145.10
  6. Step 6: Final answer
    x = 7,407.44

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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.