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Finding the Fourth Proportional to 9,752.35, 13,459.85 and 5,977.62

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Solution

The fourth proportional to 9,752.35, 13,459.85 and 5,977.62 is: 8,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.35 : 13,459.85 = 5,977.62 : x
  2. Step 2: Convert to fraction form
    9,752.35/13,459.85 = 5,977.62/x
  3. Step 3: Cross multiply
    9,752.35x = 13,459.85 × 5,977.62
  4. Step 4: Simplify right side
    9,752.35x = 80,457,816.20
  5. Step 5: Solve for x
    x = 80,457,816.20/9,752.35
  6. Step 6: Final answer
    x = 8,250.10

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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.