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Finding the Fourth Proportional to 8,547.86, 12,812.06 and 3,614.42

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Solution

The fourth proportional to 8,547.86, 12,812.06 and 3,614.42 is: 5,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.86 : 12,812.06 = 3,614.42 : x
  2. Step 2: Convert to fraction form
    8,547.86/12,812.06 = 3,614.42/x
  3. Step 3: Cross multiply
    8,547.86x = 12,812.06 × 3,614.42
  4. Step 4: Simplify right side
    8,547.86x = 46,308,110.88
  5. Step 5: Solve for x
    x = 46,308,110.88/8,547.86
  6. Step 6: Final answer
    x = 5,417.51

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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.