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Finding the Fourth Proportional to 9,543.21, 13,168.80 and 5,564.70

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Solution

The fourth proportional to 9,543.21, 13,168.80 and 5,564.70 is: 7,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.21 : 13,168.80 = 5,564.70 : x
  2. Step 2: Convert to fraction form
    9,543.21/13,168.80 = 5,564.70/x
  3. Step 3: Cross multiply
    9,543.21x = 13,168.80 × 5,564.70
  4. Step 4: Simplify right side
    9,543.21x = 73,280,421.36
  5. Step 5: Solve for x
    x = 73,280,421.36/9,543.21
  6. Step 6: Final answer
    x = 7,678.80

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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.