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Finding the Fourth Proportional to 9,720.90, 14,582.64 and 3,145.50

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Solution

The fourth proportional to 9,720.90, 14,582.64 and 3,145.50 is: 4,718.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.90 : 14,582.64 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    9,720.90/14,582.64 = 3,145.50/x
  3. Step 3: Cross multiply
    9,720.90x = 14,582.64 × 3,145.50
  4. Step 4: Simplify right side
    9,720.90x = 45,869,694.12
  5. Step 5: Solve for x
    x = 45,869,694.12/9,720.90
  6. Step 6: Final answer
    x = 4,718.67

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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.