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Finding the Fourth Proportional to 9,733.20, 13,432.86 and 5,541

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Solution

The fourth proportional to 9,733.20, 13,432.86 and 5,541 is: 7,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.20 : 13,432.86 = 5,541 : x
  2. Step 2: Convert to fraction form
    9,733.20/13,432.86 = 5,541/x
  3. Step 3: Cross multiply
    9,733.20x = 13,432.86 × 5,541
  4. Step 4: Simplify right side
    9,733.20x = 74,431,477.26
  5. Step 5: Solve for x
    x = 74,431,477.26/9,733.20
  6. Step 6: Final answer
    x = 7,647.17

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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.