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Finding the Fourth Proportional to 9,352.01, 14,032.58 and 3,809.18

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Solution

The fourth proportional to 9,352.01, 14,032.58 and 3,809.18 is: 5,715.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.01 : 14,032.58 = 3,809.18 : x
  2. Step 2: Convert to fraction form
    9,352.01/14,032.58 = 3,809.18/x
  3. Step 3: Cross multiply
    9,352.01x = 14,032.58 × 3,809.18
  4. Step 4: Simplify right side
    9,352.01x = 53,452,639.12
  5. Step 5: Solve for x
    x = 53,452,639.12/9,352.01
  6. Step 6: Final answer
    x = 5,715.63

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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.