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Finding the Fourth Proportional to 9,148.75, 12,625.32 and 4,957

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Solution

The fourth proportional to 9,148.75, 12,625.32 and 4,957 is: 6,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.75 : 12,625.32 = 4,957 : x
  2. Step 2: Convert to fraction form
    9,148.75/12,625.32 = 4,957/x
  3. Step 3: Cross multiply
    9,148.75x = 12,625.32 × 4,957
  4. Step 4: Simplify right side
    9,148.75x = 62,583,711.24
  5. Step 5: Solve for x
    x = 62,583,711.24/9,148.75
  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.