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Finding the Fourth Proportional to 9,809.07, 14,715.42 and 3,235.71

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Solution

The fourth proportional to 9,809.07, 14,715.42 and 3,235.71 is: 4,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.07 : 14,715.42 = 3,235.71 : x
  2. Step 2: Convert to fraction form
    9,809.07/14,715.42 = 3,235.71/x
  3. Step 3: Cross multiply
    9,809.07x = 14,715.42 × 3,235.71
  4. Step 4: Simplify right side
    9,809.07x = 47,614,831.65
  5. Step 5: Solve for x
    x = 47,614,831.65/9,809.07
  6. Step 6: Final answer
    x = 4,854.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.