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Finding the Fourth Proportional to 9,156.56, 13,742.16 and 4,775.36

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Solution

The fourth proportional to 9,156.56, 13,742.16 and 4,775.36 is: 7,166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.56 : 13,742.16 = 4,775.36 : x
  2. Step 2: Convert to fraction form
    9,156.56/13,742.16 = 4,775.36/x
  3. Step 3: Cross multiply
    9,156.56x = 13,742.16 × 4,775.36
  4. Step 4: Simplify right side
    9,156.56x = 65,623,761.18
  5. Step 5: Solve for x
    x = 65,623,761.18/9,156.56
  6. Step 6: Final answer
    x = 7,166.86

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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.