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Finding the Fourth Proportional to 9,901.48, 13,664.28 and 5,652.46

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Solution

The fourth proportional to 9,901.48, 13,664.28 and 5,652.46 is: 7,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.48 : 13,664.28 = 5,652.46 : x
  2. Step 2: Convert to fraction form
    9,901.48/13,664.28 = 5,652.46/x
  3. Step 3: Cross multiply
    9,901.48x = 13,664.28 × 5,652.46
  4. Step 4: Simplify right side
    9,901.48x = 77,236,796.13
  5. Step 5: Solve for x
    x = 77,236,796.13/9,901.48
  6. Step 6: Final answer
    x = 7,800.53

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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.