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Finding the Fourth Proportional to 6,075.62, 9,097.65 and 5,203.73

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Solution

The fourth proportional to 6,075.62, 9,097.65 and 5,203.73 is: 7,792.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.62 : 9,097.65 = 5,203.73 : x
  2. Step 2: Convert to fraction form
    6,075.62/9,097.65 = 5,203.73/x
  3. Step 3: Cross multiply
    6,075.62x = 9,097.65 × 5,203.73
  4. Step 4: Simplify right side
    6,075.62x = 47,341,668.75
  5. Step 5: Solve for x
    x = 47,341,668.75/6,075.62
  6. Step 6: Final answer
    x = 7,792.08

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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.