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Finding the Fourth Proportional to 9,647.72, 13,291.62 and 7,407.08

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Solution

The fourth proportional to 9,647.72, 13,291.62 and 7,407.08 is: 10,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.72 : 13,291.62 = 7,407.08 : x
  2. Step 2: Convert to fraction form
    9,647.72/13,291.62 = 7,407.08/x
  3. Step 3: Cross multiply
    9,647.72x = 13,291.62 × 7,407.08
  4. Step 4: Simplify right side
    9,647.72x = 98,452,092.67
  5. Step 5: Solve for x
    x = 98,452,092.67/9,647.72
  6. Step 6: Final answer
    x = 10,204.70

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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.