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Finding the Fourth Proportional to 8,645.66, 12,970.19 and 3,097.51

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Solution

The fourth proportional to 8,645.66, 12,970.19 and 3,097.51 is: 4,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.66 : 12,970.19 = 3,097.51 : x
  2. Step 2: Convert to fraction form
    8,645.66/12,970.19 = 3,097.51/x
  3. Step 3: Cross multiply
    8,645.66x = 12,970.19 × 3,097.51
  4. Step 4: Simplify right side
    8,645.66x = 40,175,293.23
  5. Step 5: Solve for x
    x = 40,175,293.23/8,645.66
  6. Step 6: Final answer
    x = 4,646.87

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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.