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Finding the Fourth Proportional to 9,510.14, 13,123.23 and 5,261.10

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Solution

The fourth proportional to 9,510.14, 13,123.23 and 5,261.10 is: 7,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.14 : 13,123.23 = 5,261.10 : x
  2. Step 2: Convert to fraction form
    9,510.14/13,123.23 = 5,261.10/x
  3. Step 3: Cross multiply
    9,510.14x = 13,123.23 × 5,261.10
  4. Step 4: Simplify right side
    9,510.14x = 69,042,659.82
  5. Step 5: Solve for x
    x = 69,042,659.82/9,510.14
  6. Step 6: Final answer
    x = 7,259.90

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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.