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Finding the Fourth Proportional to 9,452.84, 14,175.58 and 3,907.08

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Solution

The fourth proportional to 9,452.84, 14,175.58 and 3,907.08 is: 5,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.84 : 14,175.58 = 3,907.08 : x
  2. Step 2: Convert to fraction form
    9,452.84/14,175.58 = 3,907.08/x
  3. Step 3: Cross multiply
    9,452.84x = 14,175.58 × 3,907.08
  4. Step 4: Simplify right side
    9,452.84x = 55,385,125.11
  5. Step 5: Solve for x
    x = 55,385,125.11/9,452.84
  6. Step 6: Final answer
    x = 5,859.10

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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.