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Finding the Fourth Proportional to 9,152.84, 12,630.93 and 4,961.09

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Solution

The fourth proportional to 9,152.84, 12,630.93 and 4,961.09 is: 6,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.84 : 12,630.93 = 4,961.09 : x
  2. Step 2: Convert to fraction form
    9,152.84/12,630.93 = 4,961.09/x
  3. Step 3: Cross multiply
    9,152.84x = 12,630.93 × 4,961.09
  4. Step 4: Simplify right side
    9,152.84x = 62,663,180.51
  5. Step 5: Solve for x
    x = 62,663,180.51/9,152.84
  6. Step 6: Final answer
    x = 6,846.31

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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.