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Finding the Fourth Proportional to 9,596.68, 14,376.58 and 5,888.10

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Solution

The fourth proportional to 9,596.68, 14,376.58 and 5,888.10 is: 8,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.68 : 14,376.58 = 5,888.10 : x
  2. Step 2: Convert to fraction form
    9,596.68/14,376.58 = 5,888.10/x
  3. Step 3: Cross multiply
    9,596.68x = 14,376.58 × 5,888.10
  4. Step 4: Simplify right side
    9,596.68x = 84,650,740.70
  5. Step 5: Solve for x
    x = 84,650,740.70/9,596.68
  6. Step 6: Final answer
    x = 8,820.84

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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.