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Finding the Fourth Proportional to 9,113.64, 13,672.29 and 2,875.23

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Solution

The fourth proportional to 9,113.64, 13,672.29 and 2,875.23 is: 4,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.64 : 13,672.29 = 2,875.23 : x
  2. Step 2: Convert to fraction form
    9,113.64/13,672.29 = 2,875.23/x
  3. Step 3: Cross multiply
    9,113.64x = 13,672.29 × 2,875.23
  4. Step 4: Simplify right side
    9,113.64x = 39,310,978.38
  5. Step 5: Solve for x
    x = 39,310,978.38/9,113.64
  6. Step 6: Final answer
    x = 4,313.42

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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.