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Finding the Fourth Proportional to 8,813.61, 13,222.37 and 2,970.06

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Solution

The fourth proportional to 8,813.61, 13,222.37 and 2,970.06 is: 4,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.61 : 13,222.37 = 2,970.06 : x
  2. Step 2: Convert to fraction form
    8,813.61/13,222.37 = 2,970.06/x
  3. Step 3: Cross multiply
    8,813.61x = 13,222.37 × 2,970.06
  4. Step 4: Simplify right side
    8,813.61x = 39,271,232.24
  5. Step 5: Solve for x
    x = 39,271,232.24/8,813.61
  6. Step 6: Final answer
    x = 4,455.75

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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.