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Finding the Fourth Proportional to 9,856.53, 13,602.03 and 5,607.48

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Solution

The fourth proportional to 9,856.53, 13,602.03 and 5,607.48 is: 7,738.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.53 : 13,602.03 = 5,607.48 : x
  2. Step 2: Convert to fraction form
    9,856.53/13,602.03 = 5,607.48/x
  3. Step 3: Cross multiply
    9,856.53x = 13,602.03 × 5,607.48
  4. Step 4: Simplify right side
    9,856.53x = 76,273,111.18
  5. Step 5: Solve for x
    x = 76,273,111.18/9,856.53
  6. Step 6: Final answer
    x = 7,738.33

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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.