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Finding the Fourth Proportional to 9,533.30, 14,296.94 and 3,985.50

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Solution

The fourth proportional to 9,533.30, 14,296.94 and 3,985.50 is: 5,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.30 : 14,296.94 = 3,985.50 : x
  2. Step 2: Convert to fraction form
    9,533.30/14,296.94 = 3,985.50/x
  3. Step 3: Cross multiply
    9,533.30x = 14,296.94 × 3,985.50
  4. Step 4: Simplify right side
    9,533.30x = 56,980,503.00
  5. Step 5: Solve for x
    x = 56,980,503.00/9,533.30
  6. Step 6: Final answer
    x = 5,977.00

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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.