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Finding the Fourth Proportional to 9,733.75, 13,431.76 and 5,483.45

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Solution

The fourth proportional to 9,733.75, 13,431.76 and 5,483.45 is: 7,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.75 : 13,431.76 = 5,483.45 : x
  2. Step 2: Convert to fraction form
    9,733.75/13,431.76 = 5,483.45/x
  3. Step 3: Cross multiply
    9,733.75x = 13,431.76 × 5,483.45
  4. Step 4: Simplify right side
    9,733.75x = 73,652,356.95
  5. Step 5: Solve for x
    x = 73,652,356.95/9,733.75
  6. Step 6: Final answer
    x = 7,566.70

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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.