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Finding the Fourth Proportional to 9,537.84, 14,307.04 and 2,612.40

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Solution

The fourth proportional to 9,537.84, 14,307.04 and 2,612.40 is: 3,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.84 : 14,307.04 = 2,612.40 : x
  2. Step 2: Convert to fraction form
    9,537.84/14,307.04 = 2,612.40/x
  3. Step 3: Cross multiply
    9,537.84x = 14,307.04 × 2,612.40
  4. Step 4: Simplify right side
    9,537.84x = 37,375,711.30
  5. Step 5: Solve for x
    x = 37,375,711.30/9,537.84
  6. Step 6: Final answer
    x = 3,918.68

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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.