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Finding the Fourth Proportional to 9,750.60, 14,627.88 and 4,814.46

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Solution

The fourth proportional to 9,750.60, 14,627.88 and 4,814.46 is: 7,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.60 : 14,627.88 = 4,814.46 : x
  2. Step 2: Convert to fraction form
    9,750.60/14,627.88 = 4,814.46/x
  3. Step 3: Cross multiply
    9,750.60x = 14,627.88 × 4,814.46
  4. Step 4: Simplify right side
    9,750.60x = 70,425,343.14
  5. Step 5: Solve for x
    x = 70,425,343.14/9,750.60
  6. Step 6: Final answer
    x = 7,222.67

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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.