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Finding the Fourth Proportional to 9,533.86, 14,295.01 and 4,267.89

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Solution

The fourth proportional to 9,533.86, 14,295.01 and 4,267.89 is: 6,399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.86 : 14,295.01 = 4,267.89 : x
  2. Step 2: Convert to fraction form
    9,533.86/14,295.01 = 4,267.89/x
  3. Step 3: Cross multiply
    9,533.86x = 14,295.01 × 4,267.89
  4. Step 4: Simplify right side
    9,533.86x = 61,009,458.75
  5. Step 5: Solve for x
    x = 61,009,458.75/9,533.86
  6. Step 6: Final answer
    x = 6,399.24

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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.