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Finding the Fourth Proportional to 9,758.30, 14,632.05 and 4,210.70

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Solution

The fourth proportional to 9,758.30, 14,632.05 and 4,210.70 is: 6,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.30 : 14,632.05 = 4,210.70 : x
  2. Step 2: Convert to fraction form
    9,758.30/14,632.05 = 4,210.70/x
  3. Step 3: Cross multiply
    9,758.30x = 14,632.05 × 4,210.70
  4. Step 4: Simplify right side
    9,758.30x = 61,611,172.94
  5. Step 5: Solve for x
    x = 61,611,172.94/9,758.30
  6. Step 6: Final answer
    x = 6,313.72

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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.