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Finding the Fourth Proportional to 9,509.36, 14,245.56 and 5,800.88

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Solution

The fourth proportional to 9,509.36, 14,245.56 and 5,800.88 is: 8,690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.36 : 14,245.56 = 5,800.88 : x
  2. Step 2: Convert to fraction form
    9,509.36/14,245.56 = 5,800.88/x
  3. Step 3: Cross multiply
    9,509.36x = 14,245.56 × 5,800.88
  4. Step 4: Simplify right side
    9,509.36x = 82,636,784.09
  5. Step 5: Solve for x
    x = 82,636,784.09/9,509.36
  6. Step 6: Final answer
    x = 8,690.05

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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.