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Finding the Fourth Proportional to 9,748.56, 13,455.72 and 5,771.04

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Solution

The fourth proportional to 9,748.56, 13,455.72 and 5,771.04 is: 7,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.56 : 13,455.72 = 5,771.04 : x
  2. Step 2: Convert to fraction form
    9,748.56/13,455.72 = 5,771.04/x
  3. Step 3: Cross multiply
    9,748.56x = 13,455.72 × 5,771.04
  4. Step 4: Simplify right side
    9,748.56x = 77,653,498.35
  5. Step 5: Solve for x
    x = 77,653,498.35/9,748.56
  6. Step 6: Final answer
    x = 7,965.64

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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.