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Finding the Fourth Proportional to 8,364.47, 12,547.10 and 6,017.96

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Solution

The fourth proportional to 8,364.47, 12,547.10 and 6,017.96 is: 9,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.47 : 12,547.10 = 6,017.96 : x
  2. Step 2: Convert to fraction form
    8,364.47/12,547.10 = 6,017.96/x
  3. Step 3: Cross multiply
    8,364.47x = 12,547.10 × 6,017.96
  4. Step 4: Simplify right side
    8,364.47x = 75,507,992.33
  5. Step 5: Solve for x
    x = 75,507,992.33/8,364.47
  6. Step 6: Final answer
    x = 9,027.24

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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.