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Finding the Fourth Proportional to 9,101.07, 13,655.43 and 4,944

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Solution

The fourth proportional to 9,101.07, 13,655.43 and 4,944 is: 7,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.07 : 13,655.43 = 4,944 : x
  2. Step 2: Convert to fraction form
    9,101.07/13,655.43 = 4,944/x
  3. Step 3: Cross multiply
    9,101.07x = 13,655.43 × 4,944
  4. Step 4: Simplify right side
    9,101.07x = 67,512,445.92
  5. Step 5: Solve for x
    x = 67,512,445.92/9,101.07
  6. Step 6: Final answer
    x = 7,418.08

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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.