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Finding the Fourth Proportional to 6,448.50, 8,903.19 and 4,465.17

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Solution

The fourth proportional to 6,448.50, 8,903.19 and 4,465.17 is: 6,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.50 : 8,903.19 = 4,465.17 : x
  2. Step 2: Convert to fraction form
    6,448.50/8,903.19 = 4,465.17/x
  3. Step 3: Cross multiply
    6,448.50x = 8,903.19 × 4,465.17
  4. Step 4: Simplify right side
    6,448.50x = 39,754,256.89
  5. Step 5: Solve for x
    x = 39,754,256.89/6,448.50
  6. Step 6: Final answer
    x = 6,164.88

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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.