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Finding the Fourth Proportional to 9,969.64, 14,954.52 and 2,573.60

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Solution

The fourth proportional to 9,969.64, 14,954.52 and 2,573.60 is: 3,860.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.64 : 14,954.52 = 2,573.60 : x
  2. Step 2: Convert to fraction form
    9,969.64/14,954.52 = 2,573.60/x
  3. Step 3: Cross multiply
    9,969.64x = 14,954.52 × 2,573.60
  4. Step 4: Simplify right side
    9,969.64x = 38,486,929.61
  5. Step 5: Solve for x
    x = 38,486,929.61/9,969.64
  6. Step 6: Final answer
    x = 3,860.41

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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.