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Finding the Fourth Proportional to 9,133.56, 12,606.75 and 5,157

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Solution

The fourth proportional to 9,133.56, 12,606.75 and 5,157 is: 7,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.56 : 12,606.75 = 5,157 : x
  2. Step 2: Convert to fraction form
    9,133.56/12,606.75 = 5,157/x
  3. Step 3: Cross multiply
    9,133.56x = 12,606.75 × 5,157
  4. Step 4: Simplify right side
    9,133.56x = 65,013,009.75
  5. Step 5: Solve for x
    x = 65,013,009.75/9,133.56
  6. Step 6: Final answer
    x = 7,118.04

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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.