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Finding the Fourth Proportional to 9,901.77, 13,664.40 and 5,364.45

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Solution

The fourth proportional to 9,901.77, 13,664.40 and 5,364.45 is: 7,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.77 : 13,664.40 = 5,364.45 : x
  2. Step 2: Convert to fraction form
    9,901.77/13,664.40 = 5,364.45/x
  3. Step 3: Cross multiply
    9,901.77x = 13,664.40 × 5,364.45
  4. Step 4: Simplify right side
    9,901.77x = 73,301,990.58
  5. Step 5: Solve for x
    x = 73,301,990.58/9,901.77
  6. Step 6: Final answer
    x = 7,402.92

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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.