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Finding the Fourth Proportional to 9,215.64, 13,812.62 and 4,274.87

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Solution

The fourth proportional to 9,215.64, 13,812.62 and 4,274.87 is: 6,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.64 : 13,812.62 = 4,274.87 : x
  2. Step 2: Convert to fraction form
    9,215.64/13,812.62 = 4,274.87/x
  3. Step 3: Cross multiply
    9,215.64x = 13,812.62 × 4,274.87
  4. Step 4: Simplify right side
    9,215.64x = 59,047,064.42
  5. Step 5: Solve for x
    x = 59,047,064.42/9,215.64
  6. Step 6: Final answer
    x = 6,407.27

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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.