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Finding the Fourth Proportional to 9,810.76, 14,716.00 and 2,415.28

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Solution

The fourth proportional to 9,810.76, 14,716.00 and 2,415.28 is: 3,622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.76 : 14,716.00 = 2,415.28 : x
  2. Step 2: Convert to fraction form
    9,810.76/14,716.00 = 2,415.28/x
  3. Step 3: Cross multiply
    9,810.76x = 14,716.00 × 2,415.28
  4. Step 4: Simplify right side
    9,810.76x = 35,543,174.82
  5. Step 5: Solve for x
    x = 35,543,174.82/9,810.76
  6. Step 6: Final answer
    x = 3,622.88

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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.