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Finding the Fourth Proportional to 9,776.88, 14,665.68 and 3,533.76

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Solution

The fourth proportional to 9,776.88, 14,665.68 and 3,533.76 is: 5,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.88 : 14,665.68 = 3,533.76 : x
  2. Step 2: Convert to fraction form
    9,776.88/14,665.68 = 3,533.76/x
  3. Step 3: Cross multiply
    9,776.88x = 14,665.68 × 3,533.76
  4. Step 4: Simplify right side
    9,776.88x = 51,824,993.36
  5. Step 5: Solve for x
    x = 51,824,993.36/9,776.88
  6. Step 6: Final answer
    x = 5,300.77

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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.