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Finding the Fourth Proportional to 9,936.66, 13,712.56 and 5,460.39

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Solution

The fourth proportional to 9,936.66, 13,712.56 and 5,460.39 is: 7,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,936.66 : 13,712.56 = 5,460.39 : x
  2. Step 2: Convert to fraction form
    9,936.66/13,712.56 = 5,460.39/x
  3. Step 3: Cross multiply
    9,936.66x = 13,712.56 × 5,460.39
  4. Step 4: Simplify right side
    9,936.66x = 74,875,925.50
  5. Step 5: Solve for x
    x = 74,875,925.50/9,936.66
  6. Step 6: Final answer
    x = 7,535.32

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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.