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Finding the Fourth Proportional to 9,102.16, 12,560.48 and 5,123.44

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Solution

The fourth proportional to 9,102.16, 12,560.48 and 5,123.44 is: 7,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.16 : 12,560.48 = 5,123.44 : x
  2. Step 2: Convert to fraction form
    9,102.16/12,560.48 = 5,123.44/x
  3. Step 3: Cross multiply
    9,102.16x = 12,560.48 × 5,123.44
  4. Step 4: Simplify right side
    9,102.16x = 64,352,865.65
  5. Step 5: Solve for x
    x = 64,352,865.65/9,102.16
  6. Step 6: Final answer
    x = 7,070.07

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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.