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Finding the Fourth Proportional to 9,135.75, 12,607.34 and 4,944

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Solution

The fourth proportional to 9,135.75, 12,607.34 and 4,944 is: 6,822.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.75 : 12,607.34 = 4,944 : x
  2. Step 2: Convert to fraction form
    9,135.75/12,607.34 = 4,944/x
  3. Step 3: Cross multiply
    9,135.75x = 12,607.34 × 4,944
  4. Step 4: Simplify right side
    9,135.75x = 62,330,664.24
  5. Step 5: Solve for x
    x = 62,330,664.24/9,135.75
  6. Step 6: Final answer
    x = 6,822.72

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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.