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Finding the Fourth Proportional to 9,564.90, 13,200.08 and 5,588.34

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Solution

The fourth proportional to 9,564.90, 13,200.08 and 5,588.34 is: 7,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.90 : 13,200.08 = 5,588.34 : x
  2. Step 2: Convert to fraction form
    9,564.90/13,200.08 = 5,588.34/x
  3. Step 3: Cross multiply
    9,564.90x = 13,200.08 × 5,588.34
  4. Step 4: Simplify right side
    9,564.90x = 73,766,507.13
  5. Step 5: Solve for x
    x = 73,766,507.13/9,564.90
  6. Step 6: Final answer
    x = 7,712.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.