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Finding the Fourth Proportional to 9,596.46, 14,368.70 and 4,969.74

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Solution

The fourth proportional to 9,596.46, 14,368.70 and 4,969.74 is: 7,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,596.46 : 14,368.70 = 4,969.74 : x
  2. Step 2: Convert to fraction form
    9,596.46/14,368.70 = 4,969.74/x
  3. Step 3: Cross multiply
    9,596.46x = 14,368.70 × 4,969.74
  4. Step 4: Simplify right side
    9,596.46x = 71,408,703.14
  5. Step 5: Solve for x
    x = 71,408,703.14/9,596.46
  6. Step 6: Final answer
    x = 7,441.15

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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.