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Finding the Fourth Proportional to 6,314.00, 8,715.29 and 4,075.88

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Solution

The fourth proportional to 6,314.00, 8,715.29 and 4,075.88 is: 5,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.00 : 8,715.29 = 4,075.88 : x
  2. Step 2: Convert to fraction form
    6,314.00/8,715.29 = 4,075.88/x
  3. Step 3: Cross multiply
    6,314.00x = 8,715.29 × 4,075.88
  4. Step 4: Simplify right side
    6,314.00x = 35,522,412.25
  5. Step 5: Solve for x
    x = 35,522,412.25/6,314.00
  6. Step 6: Final answer
    x = 5,625.98

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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.