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Finding the Fourth Proportional to 9,817.88, 13,548.32 and 5,625.32

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Solution

The fourth proportional to 9,817.88, 13,548.32 and 5,625.32 is: 7,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.88 : 13,548.32 = 5,625.32 : x
  2. Step 2: Convert to fraction form
    9,817.88/13,548.32 = 5,625.32/x
  3. Step 3: Cross multiply
    9,817.88x = 13,548.32 × 5,625.32
  4. Step 4: Simplify right side
    9,817.88x = 76,213,635.46
  5. Step 5: Solve for x
    x = 76,213,635.46/9,817.88
  6. Step 6: Final answer
    x = 7,762.74

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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.