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Finding the Fourth Proportional to 6,501.40, 9,752.10 and 4,427.80

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Solution

The fourth proportional to 6,501.40, 9,752.10 and 4,427.80 is: 6,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.40 : 9,752.10 = 4,427.80 : x
  2. Step 2: Convert to fraction form
    6,501.40/9,752.10 = 4,427.80/x
  3. Step 3: Cross multiply
    6,501.40x = 9,752.10 × 4,427.80
  4. Step 4: Simplify right side
    6,501.40x = 43,180,348.38
  5. Step 5: Solve for x
    x = 43,180,348.38/6,501.40
  6. Step 6: Final answer
    x = 6,641.70

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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.