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Finding the Fourth Proportional to 9,782.56, 13,499.70 and 5,416.77

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Solution

The fourth proportional to 9,782.56, 13,499.70 and 5,416.77 is: 7,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.56 : 13,499.70 = 5,416.77 : x
  2. Step 2: Convert to fraction form
    9,782.56/13,499.70 = 5,416.77/x
  3. Step 3: Cross multiply
    9,782.56x = 13,499.70 × 5,416.77
  4. Step 4: Simplify right side
    9,782.56x = 73,124,769.97
  5. Step 5: Solve for x
    x = 73,124,769.97/9,782.56
  6. Step 6: Final answer
    x = 7,475.01

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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.