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Finding the Fourth Proportional to 9,656.11, 13,325.39 and 5,407.16

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Solution

The fourth proportional to 9,656.11, 13,325.39 and 5,407.16 is: 7,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.11 : 13,325.39 = 5,407.16 : x
  2. Step 2: Convert to fraction form
    9,656.11/13,325.39 = 5,407.16/x
  3. Step 3: Cross multiply
    9,656.11x = 13,325.39 × 5,407.16
  4. Step 4: Simplify right side
    9,656.11x = 72,052,442.41
  5. Step 5: Solve for x
    x = 72,052,442.41/9,656.11
  6. Step 6: Final answer
    x = 7,461.85

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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.