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Finding the Fourth Proportional to 9,770.48, 13,483.27 and 5,736.52

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Solution

The fourth proportional to 9,770.48, 13,483.27 and 5,736.52 is: 7,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.48 : 13,483.27 = 5,736.52 : x
  2. Step 2: Convert to fraction form
    9,770.48/13,483.27 = 5,736.52/x
  3. Step 3: Cross multiply
    9,770.48x = 13,483.27 × 5,736.52
  4. Step 4: Simplify right side
    9,770.48x = 77,346,999.97
  5. Step 5: Solve for x
    x = 77,346,999.97/9,770.48
  6. Step 6: Final answer
    x = 7,916.40

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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.