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Finding the Fourth Proportional to 9,307.56, 12,844.34 and 5,115.72

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Solution

The fourth proportional to 9,307.56, 12,844.34 and 5,115.72 is: 7,059.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.56 : 12,844.34 = 5,115.72 : x
  2. Step 2: Convert to fraction form
    9,307.56/12,844.34 = 5,115.72/x
  3. Step 3: Cross multiply
    9,307.56x = 12,844.34 × 5,115.72
  4. Step 4: Simplify right side
    9,307.56x = 65,708,047.02
  5. Step 5: Solve for x
    x = 65,708,047.02/9,307.56
  6. Step 6: Final answer
    x = 7,059.64

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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.