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Finding the Fourth Proportional to 13,712.64, 18,895.56 and 9,465

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Solution

The fourth proportional to 13,712.64, 18,895.56 and 9,465 is: 13,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.64 : 18,895.56 = 9,465 : x
  2. Step 2: Convert to fraction form
    13,712.64/18,895.56 = 9,465/x
  3. Step 3: Cross multiply
    13,712.64x = 18,895.56 × 9,465
  4. Step 4: Simplify right side
    13,712.64x = 178,846,475.40
  5. Step 5: Solve for x
    x = 178,846,475.40/13,712.64
  6. Step 6: Final answer
    x = 13,042.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.