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Finding the Fourth Proportional to 6,209.87, 8,564.81 and 4,530.60

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Solution

The fourth proportional to 6,209.87, 8,564.81 and 4,530.60 is: 6,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.87 : 8,564.81 = 4,530.60 : x
  2. Step 2: Convert to fraction form
    6,209.87/8,564.81 = 4,530.60/x
  3. Step 3: Cross multiply
    6,209.87x = 8,564.81 × 4,530.60
  4. Step 4: Simplify right side
    6,209.87x = 38,803,705.53
  5. Step 5: Solve for x
    x = 38,803,705.53/6,209.87
  6. Step 6: Final answer
    x = 6,248.72

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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.