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Finding the Fourth Proportional to 9,564.90, 13,195.78 and 5,530.99

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Solution

The fourth proportional to 9,564.90, 13,195.78 and 5,530.99 is: 7,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.90 : 13,195.78 = 5,530.99 : x
  2. Step 2: Convert to fraction form
    9,564.90/13,195.78 = 5,530.99/x
  3. Step 3: Cross multiply
    9,564.90x = 13,195.78 × 5,530.99
  4. Step 4: Simplify right side
    9,564.90x = 72,985,675.07
  5. Step 5: Solve for x
    x = 72,985,675.07/9,564.90
  6. Step 6: Final answer
    x = 7,630.57

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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.