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Finding the Fourth Proportional to 9,782.84, 13,500.54 and 5,953.16

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Solution

The fourth proportional to 9,782.84, 13,500.54 and 5,953.16 is: 8,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.84 : 13,500.54 = 5,953.16 : x
  2. Step 2: Convert to fraction form
    9,782.84/13,500.54 = 5,953.16/x
  3. Step 3: Cross multiply
    9,782.84x = 13,500.54 × 5,953.16
  4. Step 4: Simplify right side
    9,782.84x = 80,370,807.20
  5. Step 5: Solve for x
    x = 80,370,807.20/9,782.84
  6. Step 6: Final answer
    x = 8,215.49

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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.