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Finding the Fourth Proportional to 9,783.64, 14,682.72 and 5,404.84

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Solution

The fourth proportional to 9,783.64, 14,682.72 and 5,404.84 is: 8,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.64 : 14,682.72 = 5,404.84 : x
  2. Step 2: Convert to fraction form
    9,783.64/14,682.72 = 5,404.84/x
  3. Step 3: Cross multiply
    9,783.64x = 14,682.72 × 5,404.84
  4. Step 4: Simplify right side
    9,783.64x = 79,357,752.36
  5. Step 5: Solve for x
    x = 79,357,752.36/9,783.64
  6. Step 6: Final answer
    x = 8,111.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.