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Finding the Fourth Proportional to 9,483.93, 14,228.06 and 2,911.05

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Solution

The fourth proportional to 9,483.93, 14,228.06 and 2,911.05 is: 4,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.93 : 14,228.06 = 2,911.05 : x
  2. Step 2: Convert to fraction form
    9,483.93/14,228.06 = 2,911.05/x
  3. Step 3: Cross multiply
    9,483.93x = 14,228.06 × 2,911.05
  4. Step 4: Simplify right side
    9,483.93x = 41,418,579.51
  5. Step 5: Solve for x
    x = 41,418,579.51/9,483.93
  6. Step 6: Final answer
    x = 4,367.24

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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.