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Finding the Fourth Proportional to 8,646.25, 12,970.30 and 2,406.28

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Solution

The fourth proportional to 8,646.25, 12,970.30 and 2,406.28 is: 3,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.25 : 12,970.30 = 2,406.28 : x
  2. Step 2: Convert to fraction form
    8,646.25/12,970.30 = 2,406.28/x
  3. Step 3: Cross multiply
    8,646.25x = 12,970.30 × 2,406.28
  4. Step 4: Simplify right side
    8,646.25x = 31,210,173.48
  5. Step 5: Solve for x
    x = 31,210,173.48/8,646.25
  6. Step 6: Final answer
    x = 3,609.68

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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.