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Finding the Fourth Proportional to 9,808.56, 13,534.56 and 5,616

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Solution

The fourth proportional to 9,808.56, 13,534.56 and 5,616 is: 7,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.56 : 13,534.56 = 5,616 : x
  2. Step 2: Convert to fraction form
    9,808.56/13,534.56 = 5,616/x
  3. Step 3: Cross multiply
    9,808.56x = 13,534.56 × 5,616
  4. Step 4: Simplify right side
    9,808.56x = 76,010,088.96
  5. Step 5: Solve for x
    x = 76,010,088.96/9,808.56
  6. Step 6: Final answer
    x = 7,749.36

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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.