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Finding the Fourth Proportional to 6,533.46, 9,010.20 and 4,859.06

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Solution

The fourth proportional to 6,533.46, 9,010.20 and 4,859.06 is: 6,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.46 : 9,010.20 = 4,859.06 : x
  2. Step 2: Convert to fraction form
    6,533.46/9,010.20 = 4,859.06/x
  3. Step 3: Cross multiply
    6,533.46x = 9,010.20 × 4,859.06
  4. Step 4: Simplify right side
    6,533.46x = 43,781,075.58
  5. Step 5: Solve for x
    x = 43,781,075.58/6,533.46
  6. Step 6: Final answer
    x = 6,701.06

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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.