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Finding the Fourth Proportional to 9,750.65, 14,625.95 and 2,355.08

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Solution

The fourth proportional to 9,750.65, 14,625.95 and 2,355.08 is: 3,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.65 : 14,625.95 = 2,355.08 : x
  2. Step 2: Convert to fraction form
    9,750.65/14,625.95 = 2,355.08/x
  3. Step 3: Cross multiply
    9,750.65x = 14,625.95 × 2,355.08
  4. Step 4: Simplify right side
    9,750.65x = 34,445,197.42
  5. Step 5: Solve for x
    x = 34,445,197.42/9,750.65
  6. Step 6: Final answer
    x = 3,532.61

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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.