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Finding the Fourth Proportional to 6,553.40, 9,037.05 and 4,664.48

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Solution

The fourth proportional to 6,553.40, 9,037.05 and 4,664.48 is: 6,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.40 : 9,037.05 = 4,664.48 : x
  2. Step 2: Convert to fraction form
    6,553.40/9,037.05 = 4,664.48/x
  3. Step 3: Cross multiply
    6,553.40x = 9,037.05 × 4,664.48
  4. Step 4: Simplify right side
    6,553.40x = 42,153,138.98
  5. Step 5: Solve for x
    x = 42,153,138.98/6,553.40
  6. Step 6: Final answer
    x = 6,432.25

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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.