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Finding the Fourth Proportional to 9,936.64, 13,712.38 and 5,460.17

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Solution

The fourth proportional to 9,936.64, 13,712.38 and 5,460.17 is: 7,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.64 : 13,712.38 = 5,460.17 : x
  2. Step 2: Convert to fraction form
    9,936.64/13,712.38 = 5,460.17/x
  3. Step 3: Cross multiply
    9,936.64x = 13,712.38 × 5,460.17
  4. Step 4: Simplify right side
    9,936.64x = 74,871,925.90
  5. Step 5: Solve for x
    x = 74,871,925.90/9,936.64
  6. Step 6: Final answer
    x = 7,534.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.