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Finding the Fourth Proportional to 9,752.70, 13,460.79 and 6,165.36

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Solution

The fourth proportional to 9,752.70, 13,460.79 and 6,165.36 is: 8,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.70 : 13,460.79 = 6,165.36 : x
  2. Step 2: Convert to fraction form
    9,752.70/13,460.79 = 6,165.36/x
  3. Step 3: Cross multiply
    9,752.70x = 13,460.79 × 6,165.36
  4. Step 4: Simplify right side
    9,752.70x = 82,990,616.23
  5. Step 5: Solve for x
    x = 82,990,616.23/9,752.70
  6. Step 6: Final answer
    x = 8,509.50

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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.