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Finding the Fourth Proportional to 9,435.23, 13,019.57 and 5,658.56

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Solution

The fourth proportional to 9,435.23, 13,019.57 and 5,658.56 is: 7,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,435.23 : 13,019.57 = 5,658.56 : x
  2. Step 2: Convert to fraction form
    9,435.23/13,019.57 = 5,658.56/x
  3. Step 3: Cross multiply
    9,435.23x = 13,019.57 × 5,658.56
  4. Step 4: Simplify right side
    9,435.23x = 73,671,952.92
  5. Step 5: Solve for x
    x = 73,671,952.92/9,435.23
  6. Step 6: Final answer
    x = 7,808.18

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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.