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Finding the Fourth Proportional to 9,529.00, 14,284.98 and 4,846.39

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Solution

The fourth proportional to 9,529.00, 14,284.98 and 4,846.39 is: 7,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.00 : 14,284.98 = 4,846.39 : x
  2. Step 2: Convert to fraction form
    9,529.00/14,284.98 = 4,846.39/x
  3. Step 3: Cross multiply
    9,529.00x = 14,284.98 × 4,846.39
  4. Step 4: Simplify right side
    9,529.00x = 69,230,548.51
  5. Step 5: Solve for x
    x = 69,230,548.51/9,529.00
  6. Step 6: Final answer
    x = 7,265.25

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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.