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Finding the Fourth Proportional to 6,458.00, 9,674.55 and 4,367.70

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Solution

The fourth proportional to 6,458.00, 9,674.55 and 4,367.70 is: 6,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.00 : 9,674.55 = 4,367.70 : x
  2. Step 2: Convert to fraction form
    6,458.00/9,674.55 = 4,367.70/x
  3. Step 3: Cross multiply
    6,458.00x = 9,674.55 × 4,367.70
  4. Step 4: Simplify right side
    6,458.00x = 42,255,532.04
  5. Step 5: Solve for x
    x = 42,255,532.04/6,458.00
  6. Step 6: Final answer
    x = 6,543.13

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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.