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Finding the Fourth Proportional to 6,075.63, 9,108.77 and 5,457.46

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Solution

The fourth proportional to 6,075.63, 9,108.77 and 5,457.46 is: 8,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.63 : 9,108.77 = 5,457.46 : x
  2. Step 2: Convert to fraction form
    6,075.63/9,108.77 = 5,457.46/x
  3. Step 3: Cross multiply
    6,075.63x = 9,108.77 × 5,457.46
  4. Step 4: Simplify right side
    6,075.63x = 49,710,747.92
  5. Step 5: Solve for x
    x = 49,710,747.92/6,075.63
  6. Step 6: Final answer
    x = 8,181.99

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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.