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Finding the Fourth Proportional to 9,931.15, 13,705.07 and 5,455.32

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Solution

The fourth proportional to 9,931.15, 13,705.07 and 5,455.32 is: 7,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.15 : 13,705.07 = 5,455.32 : x
  2. Step 2: Convert to fraction form
    9,931.15/13,705.07 = 5,455.32/x
  3. Step 3: Cross multiply
    9,931.15x = 13,705.07 × 5,455.32
  4. Step 4: Simplify right side
    9,931.15x = 74,765,542.47
  5. Step 5: Solve for x
    x = 74,765,542.47/9,931.15
  6. Step 6: Final answer
    x = 7,528.39

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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.