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Finding the Fourth Proportional to 9,011.54, 13,510.94 and 3,460.20

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Solution

The fourth proportional to 9,011.54, 13,510.94 and 3,460.20 is: 5,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.54 : 13,510.94 = 3,460.20 : x
  2. Step 2: Convert to fraction form
    9,011.54/13,510.94 = 3,460.20/x
  3. Step 3: Cross multiply
    9,011.54x = 13,510.94 × 3,460.20
  4. Step 4: Simplify right side
    9,011.54x = 46,750,537.29
  5. Step 5: Solve for x
    x = 46,750,537.29/9,011.54
  6. Step 6: Final answer
    x = 5,187.86

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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.