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Finding the Fourth Proportional to 9,148.96, 12,625.58 and 4,957.21

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Solution

The fourth proportional to 9,148.96, 12,625.58 and 4,957.21 is: 6,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.96 : 12,625.58 = 4,957.21 : x
  2. Step 2: Convert to fraction form
    9,148.96/12,625.58 = 4,957.21/x
  3. Step 3: Cross multiply
    9,148.96x = 12,625.58 × 4,957.21
  4. Step 4: Simplify right side
    9,148.96x = 62,587,638.48
  5. Step 5: Solve for x
    x = 62,587,638.48/9,148.96
  6. Step 6: Final answer
    x = 6,840.96

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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.