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Finding the Fourth Proportional to 9,564.65, 13,195.44 and 5,530.74

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Solution

The fourth proportional to 9,564.65, 13,195.44 and 5,530.74 is: 7,630.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.65 : 13,195.44 = 5,530.74 : x
  2. Step 2: Convert to fraction form
    9,564.65/13,195.44 = 5,530.74/x
  3. Step 3: Cross multiply
    9,564.65x = 13,195.44 × 5,530.74
  4. Step 4: Simplify right side
    9,564.65x = 72,980,477.60
  5. Step 5: Solve for x
    x = 72,980,477.60/9,564.65
  6. Step 6: Final answer
    x = 7,630.23

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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.