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Finding the Fourth Proportional to 8,646.99, 12,970.05 and 2,406.96

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Solution

The fourth proportional to 8,646.99, 12,970.05 and 2,406.96 is: 3,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.99 : 12,970.05 = 2,406.96 : x
  2. Step 2: Convert to fraction form
    8,646.99/12,970.05 = 2,406.96/x
  3. Step 3: Cross multiply
    8,646.99x = 12,970.05 × 2,406.96
  4. Step 4: Simplify right side
    8,646.99x = 31,218,391.55
  5. Step 5: Solve for x
    x = 31,218,391.55/8,646.99
  6. Step 6: Final answer
    x = 3,610.32

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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.