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Finding the Fourth Proportional to 6,566.14, 9,061.51 and 3,582.14

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Solution

The fourth proportional to 6,566.14, 9,061.51 and 3,582.14 is: 4,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.14 : 9,061.51 = 3,582.14 : x
  2. Step 2: Convert to fraction form
    6,566.14/9,061.51 = 3,582.14/x
  3. Step 3: Cross multiply
    6,566.14x = 9,061.51 × 3,582.14
  4. Step 4: Simplify right side
    6,566.14x = 32,459,614.93
  5. Step 5: Solve for x
    x = 32,459,614.93/6,566.14
  6. Step 6: Final answer
    x = 4,943.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.