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Finding the Fourth Proportional to 9,656, 13,325.40 and 5,464.16

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Solution

The fourth proportional to 9,656, 13,325.40 and 5,464.16 is: 7,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656 : 13,325.40 = 5,464.16 : x
  2. Step 2: Convert to fraction form
    9,656/13,325.40 = 5,464.16/x
  3. Step 3: Cross multiply
    9,656x = 13,325.40 × 5,464.16
  4. Step 4: Simplify right side
    9,656x = 72,812,117.66
  5. Step 5: Solve for x
    x = 72,812,117.66/9,656
  6. Step 6: Final answer
    x = 7,540.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.