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Finding the Fourth Proportional to 6,458.85, 9,688.23 and 4,267.07

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Solution

The fourth proportional to 6,458.85, 9,688.23 and 4,267.07 is: 6,400.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.85 : 9,688.23 = 4,267.07 : x
  2. Step 2: Convert to fraction form
    6,458.85/9,688.23 = 4,267.07/x
  3. Step 3: Cross multiply
    6,458.85x = 9,688.23 × 4,267.07
  4. Step 4: Simplify right side
    6,458.85x = 41,340,307.14
  5. Step 5: Solve for x
    x = 41,340,307.14/6,458.85
  6. Step 6: Final answer
    x = 6,400.57

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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.