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Finding the Fourth Proportional to 9,748.77, 13,447.53 and 5,973.63

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Solution

The fourth proportional to 9,748.77, 13,447.53 and 5,973.63 is: 8,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.77 : 13,447.53 = 5,973.63 : x
  2. Step 2: Convert to fraction form
    9,748.77/13,447.53 = 5,973.63/x
  3. Step 3: Cross multiply
    9,748.77x = 13,447.53 × 5,973.63
  4. Step 4: Simplify right side
    9,748.77x = 80,330,568.63
  5. Step 5: Solve for x
    x = 80,330,568.63/9,748.77
  6. Step 6: Final answer
    x = 8,240.07

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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.