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Finding the Fourth Proportional to 9,708.51, 14,559.65 and 3,133.16

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Solution

The fourth proportional to 9,708.51, 14,559.65 and 3,133.16 is: 4,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.51 : 14,559.65 = 3,133.16 : x
  2. Step 2: Convert to fraction form
    9,708.51/14,559.65 = 3,133.16/x
  3. Step 3: Cross multiply
    9,708.51x = 14,559.65 × 3,133.16
  4. Step 4: Simplify right side
    9,708.51x = 45,617,624.53
  5. Step 5: Solve for x
    x = 45,617,624.53/9,708.51
  6. Step 6: Final answer
    x = 4,698.73

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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.