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Finding the Fourth Proportional to 9,506.25, 14,259.58 and 2,933.01

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Solution

The fourth proportional to 9,506.25, 14,259.58 and 2,933.01 is: 4,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.25 : 14,259.58 = 2,933.01 : x
  2. Step 2: Convert to fraction form
    9,506.25/14,259.58 = 2,933.01/x
  3. Step 3: Cross multiply
    9,506.25x = 14,259.58 × 2,933.01
  4. Step 4: Simplify right side
    9,506.25x = 41,823,483.40
  5. Step 5: Solve for x
    x = 41,823,483.40/9,506.25
  6. Step 6: Final answer
    x = 4,399.58

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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.