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Finding the Fourth Proportional to 9,148.77, 12,625.29 and 4,957.02

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Solution

The fourth proportional to 9,148.77, 12,625.29 and 4,957.02 is: 6,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.77 : 12,625.29 = 4,957.02 : x
  2. Step 2: Convert to fraction form
    9,148.77/12,625.29 = 4,957.02/x
  3. Step 3: Cross multiply
    9,148.77x = 12,625.29 × 4,957.02
  4. Step 4: Simplify right side
    9,148.77x = 62,583,815.04
  5. Step 5: Solve for x
    x = 62,583,815.04/9,148.77
  6. Step 6: Final answer
    x = 6,840.68

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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.