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Finding the Fourth Proportional to 9,533.95, 14,302.52 and 2,958.83

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Solution

The fourth proportional to 9,533.95, 14,302.52 and 2,958.83 is: 4,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.95 : 14,302.52 = 2,958.83 : x
  2. Step 2: Convert to fraction form
    9,533.95/14,302.52 = 2,958.83/x
  3. Step 3: Cross multiply
    9,533.95x = 14,302.52 × 2,958.83
  4. Step 4: Simplify right side
    9,533.95x = 42,318,720.32
  5. Step 5: Solve for x
    x = 42,318,720.32/9,533.95
  6. Step 6: Final answer
    x = 4,438.74

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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.