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Finding the Fourth Proportional to 9,189.99, 13,775.76 and 3,641.16

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Solution

The fourth proportional to 9,189.99, 13,775.76 and 3,641.16 is: 5,458.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.99 : 13,775.76 = 3,641.16 : x
  2. Step 2: Convert to fraction form
    9,189.99/13,775.76 = 3,641.16/x
  3. Step 3: Cross multiply
    9,189.99x = 13,775.76 × 3,641.16
  4. Step 4: Simplify right side
    9,189.99x = 50,159,746.28
  5. Step 5: Solve for x
    x = 50,159,746.28/9,189.99
  6. Step 6: Final answer
    x = 5,458.08

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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.