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Finding the Fourth Proportional to 6,293.04, 9,444.08 and 5,075.16

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Solution

The fourth proportional to 6,293.04, 9,444.08 and 5,075.16 is: 7,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.04 : 9,444.08 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    6,293.04/9,444.08 = 5,075.16/x
  3. Step 3: Cross multiply
    6,293.04x = 9,444.08 × 5,075.16
  4. Step 4: Simplify right side
    6,293.04x = 47,930,217.05
  5. Step 5: Solve for x
    x = 47,930,217.05/6,293.04
  6. Step 6: Final answer
    x = 7,616.39

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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.