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Finding the Fourth Proportional to 6,026.46, 9,037.77 and 1,921.50

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Solution

The fourth proportional to 6,026.46, 9,037.77 and 1,921.50 is: 2,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.46 : 9,037.77 = 1,921.50 : x
  2. Step 2: Convert to fraction form
    6,026.46/9,037.77 = 1,921.50/x
  3. Step 3: Cross multiply
    6,026.46x = 9,037.77 × 1,921.50
  4. Step 4: Simplify right side
    6,026.46x = 17,366,075.06
  5. Step 5: Solve for x
    x = 17,366,075.06/6,026.46
  6. Step 6: Final answer
    x = 2,881.64

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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.