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Finding the Fourth Proportional to 9,754.89, 13,461.93 and 5,774.55

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Solution

The fourth proportional to 9,754.89, 13,461.93 and 5,774.55 is: 7,968.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.89 : 13,461.93 = 5,774.55 : x
  2. Step 2: Convert to fraction form
    9,754.89/13,461.93 = 5,774.55/x
  3. Step 3: Cross multiply
    9,754.89x = 13,461.93 × 5,774.55
  4. Step 4: Simplify right side
    9,754.89x = 77,736,587.88
  5. Step 5: Solve for x
    x = 77,736,587.88/9,754.89
  6. Step 6: Final answer
    x = 7,968.99

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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.