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Finding the Fourth Proportional to 9,625.74, 13,283.54 and 5,433.99

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Solution

The fourth proportional to 9,625.74, 13,283.54 and 5,433.99 is: 7,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.74 : 13,283.54 = 5,433.99 : x
  2. Step 2: Convert to fraction form
    9,625.74/13,283.54 = 5,433.99/x
  3. Step 3: Cross multiply
    9,625.74x = 13,283.54 × 5,433.99
  4. Step 4: Simplify right side
    9,625.74x = 72,182,672.20
  5. Step 5: Solve for x
    x = 72,182,672.20/9,625.74
  6. Step 6: Final answer
    x = 7,498.92

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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.