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Finding the Fourth Proportional to 9,648.70, 14,465.64 and 4,900.96

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Solution

The fourth proportional to 9,648.70, 14,465.64 and 4,900.96 is: 7,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.70 : 14,465.64 = 4,900.96 : x
  2. Step 2: Convert to fraction form
    9,648.70/14,465.64 = 4,900.96/x
  3. Step 3: Cross multiply
    9,648.70x = 14,465.64 × 4,900.96
  4. Step 4: Simplify right side
    9,648.70x = 70,895,525.71
  5. Step 5: Solve for x
    x = 70,895,525.71/9,648.70
  6. Step 6: Final answer
    x = 7,347.67

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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.