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Finding the Fourth Proportional to 10,133.56, 14,038.69 and 9,891.64

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Solution

The fourth proportional to 10,133.56, 14,038.69 and 9,891.64 is: 13,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.56 : 14,038.69 = 9,891.64 : x
  2. Step 2: Convert to fraction form
    10,133.56/14,038.69 = 9,891.64/x
  3. Step 3: Cross multiply
    10,133.56x = 14,038.69 × 9,891.64
  4. Step 4: Simplify right side
    10,133.56x = 138,865,667.55
  5. Step 5: Solve for x
    x = 138,865,667.55/10,133.56
  6. Step 6: Final answer
    x = 13,703.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.