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Finding the Fourth Proportional to 9,041.85, 13,538.48 and 5,737.05

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Solution

The fourth proportional to 9,041.85, 13,538.48 and 5,737.05 is: 8,590.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.85 : 13,538.48 = 5,737.05 : x
  2. Step 2: Convert to fraction form
    9,041.85/13,538.48 = 5,737.05/x
  3. Step 3: Cross multiply
    9,041.85x = 13,538.48 × 5,737.05
  4. Step 4: Simplify right side
    9,041.85x = 77,670,908.00
  5. Step 5: Solve for x
    x = 77,670,908.00/9,041.85
  6. Step 6: Final answer
    x = 8,590.16

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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.