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Finding the Fourth Proportional to 9,510.10, 13,123.98 and 5,318.34

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Solution

The fourth proportional to 9,510.10, 13,123.98 and 5,318.34 is: 7,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.10 : 13,123.98 = 5,318.34 : x
  2. Step 2: Convert to fraction form
    9,510.10/13,123.98 = 5,318.34/x
  3. Step 3: Cross multiply
    9,510.10x = 13,123.98 × 5,318.34
  4. Step 4: Simplify right side
    9,510.10x = 69,797,787.79
  5. Step 5: Solve for x
    x = 69,797,787.79/9,510.10
  6. Step 6: Final answer
    x = 7,339.33

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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.