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Finding the Fourth Proportional to 9,783.90, 14,604.26 and 8,406.09

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Solution

The fourth proportional to 9,783.90, 14,604.26 and 8,406.09 is: 12,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.90 : 14,604.26 = 8,406.09 : x
  2. Step 2: Convert to fraction form
    9,783.90/14,604.26 = 8,406.09/x
  3. Step 3: Cross multiply
    9,783.90x = 14,604.26 × 8,406.09
  4. Step 4: Simplify right side
    9,783.90x = 122,764,681.91
  5. Step 5: Solve for x
    x = 122,764,681.91/9,783.90
  6. Step 6: Final answer
    x = 12,547.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.