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Finding the Fourth Proportional to 9,533.74, 14,302.51 and 3,293.98

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Solution

The fourth proportional to 9,533.74, 14,302.51 and 3,293.98 is: 4,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.74 : 14,302.51 = 3,293.98 : x
  2. Step 2: Convert to fraction form
    9,533.74/14,302.51 = 3,293.98/x
  3. Step 3: Cross multiply
    9,533.74x = 14,302.51 × 3,293.98
  4. Step 4: Simplify right side
    9,533.74x = 47,112,181.89
  5. Step 5: Solve for x
    x = 47,112,181.89/9,533.74
  6. Step 6: Final answer
    x = 4,941.63

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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.