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Finding the Fourth Proportional to 9,646.22, 13,307.37 and 5,667.26

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Solution

The fourth proportional to 9,646.22, 13,307.37 and 5,667.26 is: 7,818.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.22 : 13,307.37 = 5,667.26 : x
  2. Step 2: Convert to fraction form
    9,646.22/13,307.37 = 5,667.26/x
  3. Step 3: Cross multiply
    9,646.22x = 13,307.37 × 5,667.26
  4. Step 4: Simplify right side
    9,646.22x = 75,416,325.71
  5. Step 5: Solve for x
    x = 75,416,325.71/9,646.22
  6. Step 6: Final answer
    x = 7,818.23

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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.