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Finding the Fourth Proportional to 6,221.80, 8,597 and 4,973.15

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Solution

The fourth proportional to 6,221.80, 8,597 and 4,973.15 is: 6,871.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.80 : 8,597 = 4,973.15 : x
  2. Step 2: Convert to fraction form
    6,221.80/8,597 = 4,973.15/x
  3. Step 3: Cross multiply
    6,221.80x = 8,597 × 4,973.15
  4. Step 4: Simplify right side
    6,221.80x = 42,754,127.57
  5. Step 5: Solve for x
    x = 42,754,127.57/6,221.80
  6. Step 6: Final answer
    x = 6,871.67

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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.