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Finding the Fourth Proportional to 9,901.08, 13,660.56 and 5,652

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Solution

The fourth proportional to 9,901.08, 13,660.56 and 5,652 is: 7,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.08 : 13,660.56 = 5,652 : x
  2. Step 2: Convert to fraction form
    9,901.08/13,660.56 = 5,652/x
  3. Step 3: Cross multiply
    9,901.08x = 13,660.56 × 5,652
  4. Step 4: Simplify right side
    9,901.08x = 77,209,485.12
  5. Step 5: Solve for x
    x = 77,209,485.12/9,901.08
  6. Step 6: Final answer
    x = 7,798.09

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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.