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Finding the Fourth Proportional to 6,501.36, 9,753 and 1,883.76

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Solution

The fourth proportional to 6,501.36, 9,753 and 1,883.76 is: 2,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.36 : 9,753 = 1,883.76 : x
  2. Step 2: Convert to fraction form
    6,501.36/9,753 = 1,883.76/x
  3. Step 3: Cross multiply
    6,501.36x = 9,753 × 1,883.76
  4. Step 4: Simplify right side
    6,501.36x = 18,372,311.28
  5. Step 5: Solve for x
    x = 18,372,311.28/6,501.36
  6. Step 6: Final answer
    x = 2,825.92

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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.