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Finding the Fourth Proportional to 6,562.98, 9,046.11 and 4,646.34

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Solution

The fourth proportional to 6,562.98, 9,046.11 and 4,646.34 is: 6,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.98 : 9,046.11 = 4,646.34 : x
  2. Step 2: Convert to fraction form
    6,562.98/9,046.11 = 4,646.34/x
  3. Step 3: Cross multiply
    6,562.98x = 9,046.11 × 4,646.34
  4. Step 4: Simplify right side
    6,562.98x = 42,031,302.74
  5. Step 5: Solve for x
    x = 42,031,302.74/6,562.98
  6. Step 6: Final answer
    x = 6,404.30

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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.