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Finding the Fourth Proportional to 6,417.33, 9,624.04 and 2,256.55

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Solution

The fourth proportional to 6,417.33, 9,624.04 and 2,256.55 is: 3,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.33 : 9,624.04 = 2,256.55 : x
  2. Step 2: Convert to fraction form
    6,417.33/9,624.04 = 2,256.55/x
  3. Step 3: Cross multiply
    6,417.33x = 9,624.04 × 2,256.55
  4. Step 4: Simplify right side
    6,417.33x = 21,717,127.46
  5. Step 5: Solve for x
    x = 21,717,127.46/6,417.33
  6. Step 6: Final answer
    x = 3,384.14

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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.