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Finding the Fourth Proportional to 6,455.07, 8,902.10 and 4,216.14

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Solution

The fourth proportional to 6,455.07, 8,902.10 and 4,216.14 is: 5,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.07 : 8,902.10 = 4,216.14 : x
  2. Step 2: Convert to fraction form
    6,455.07/8,902.10 = 4,216.14/x
  3. Step 3: Cross multiply
    6,455.07x = 8,902.10 × 4,216.14
  4. Step 4: Simplify right side
    6,455.07x = 37,532,478.81
  5. Step 5: Solve for x
    x = 37,532,478.81/6,455.07
  6. Step 6: Final answer
    x = 5,814.42

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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.