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Finding the Fourth Proportional to 6,041.81, 9,065.43 and 4,653.06

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Solution

The fourth proportional to 6,041.81, 9,065.43 and 4,653.06 is: 6,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.81 : 9,065.43 = 4,653.06 : x
  2. Step 2: Convert to fraction form
    6,041.81/9,065.43 = 4,653.06/x
  3. Step 3: Cross multiply
    6,041.81x = 9,065.43 × 4,653.06
  4. Step 4: Simplify right side
    6,041.81x = 42,181,989.72
  5. Step 5: Solve for x
    x = 42,181,989.72/6,041.81
  6. Step 6: Final answer
    x = 6,981.69

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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.