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Finding the Fourth Proportional to 9,564.10, 13,196.40 and 5,583.40

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Solution

The fourth proportional to 9,564.10, 13,196.40 and 5,583.40 is: 7,703.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.10 : 13,196.40 = 5,583.40 : x
  2. Step 2: Convert to fraction form
    9,564.10/13,196.40 = 5,583.40/x
  3. Step 3: Cross multiply
    9,564.10x = 13,196.40 × 5,583.40
  4. Step 4: Simplify right side
    9,564.10x = 73,680,817.19
  5. Step 5: Solve for x
    x = 73,680,817.19/9,564.10
  6. Step 6: Final answer
    x = 7,703.90

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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.