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Finding the Fourth Proportional to 9,237.84, 12,748.15 and 5,046.09

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Solution

The fourth proportional to 9,237.84, 12,748.15 and 5,046.09 is: 6,963.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.84 : 12,748.15 = 5,046.09 : x
  2. Step 2: Convert to fraction form
    9,237.84/12,748.15 = 5,046.09/x
  3. Step 3: Cross multiply
    9,237.84x = 12,748.15 × 5,046.09
  4. Step 4: Simplify right side
    9,237.84x = 64,328,312.23
  5. Step 5: Solve for x
    x = 64,328,312.23/9,237.84
  6. Step 6: Final answer
    x = 6,963.57

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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.