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Finding the Fourth Proportional to 9,856.64, 13,602.12 and 5,380.39

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Solution

The fourth proportional to 9,856.64, 13,602.12 and 5,380.39 is: 7,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.64 : 13,602.12 = 5,380.39 : x
  2. Step 2: Convert to fraction form
    9,856.64/13,602.12 = 5,380.39/x
  3. Step 3: Cross multiply
    9,856.64x = 13,602.12 × 5,380.39
  4. Step 4: Simplify right side
    9,856.64x = 73,184,732.40
  5. Step 5: Solve for x
    x = 73,184,732.40/9,856.64
  6. Step 6: Final answer
    x = 7,424.92

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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.