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Finding the Fourth Proportional to 9,827.48, 14,750.94 and 4,637

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Solution

The fourth proportional to 9,827.48, 14,750.94 and 4,637 is: 6,960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.48 : 14,750.94 = 4,637 : x
  2. Step 2: Convert to fraction form
    9,827.48/14,750.94 = 4,637/x
  3. Step 3: Cross multiply
    9,827.48x = 14,750.94 × 4,637
  4. Step 4: Simplify right side
    9,827.48x = 68,400,108.78
  5. Step 5: Solve for x
    x = 68,400,108.78/9,827.48
  6. Step 6: Final answer
    x = 6,960.09

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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.