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Finding the Fourth Proportional to 9,673.44, 14,509.26 and 2,653.20

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Solution

The fourth proportional to 9,673.44, 14,509.26 and 2,653.20 is: 3,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.44 : 14,509.26 = 2,653.20 : x
  2. Step 2: Convert to fraction form
    9,673.44/14,509.26 = 2,653.20/x
  3. Step 3: Cross multiply
    9,673.44x = 14,509.26 × 2,653.20
  4. Step 4: Simplify right side
    9,673.44x = 38,495,968.63
  5. Step 5: Solve for x
    x = 38,495,968.63/9,673.44
  6. Step 6: Final answer
    x = 3,979.55

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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.