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Finding the Fourth Proportional to 9,155.69, 13,744.76 and 6,038.30

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Solution

The fourth proportional to 9,155.69, 13,744.76 and 6,038.30 is: 9,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.69 : 13,744.76 = 6,038.30 : x
  2. Step 2: Convert to fraction form
    9,155.69/13,744.76 = 6,038.30/x
  3. Step 3: Cross multiply
    9,155.69x = 13,744.76 × 6,038.30
  4. Step 4: Simplify right side
    9,155.69x = 82,994,984.31
  5. Step 5: Solve for x
    x = 82,994,984.31/9,155.69
  6. Step 6: Final answer
    x = 9,064.85

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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.