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Finding the Fourth Proportional to 9,568.46, 14,360.58 and 4,891.92

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Solution

The fourth proportional to 9,568.46, 14,360.58 and 4,891.92 is: 7,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.46 : 14,360.58 = 4,891.92 : x
  2. Step 2: Convert to fraction form
    9,568.46/14,360.58 = 4,891.92/x
  3. Step 3: Cross multiply
    9,568.46x = 14,360.58 × 4,891.92
  4. Step 4: Simplify right side
    9,568.46x = 70,250,808.51
  5. Step 5: Solve for x
    x = 70,250,808.51/9,568.46
  6. Step 6: Final answer
    x = 7,341.91

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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.