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Finding the Fourth Proportional to 9,688.66, 14,529.74 and 3,113.28

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Solution

The fourth proportional to 9,688.66, 14,529.74 and 3,113.28 is: 4,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.66 : 14,529.74 = 3,113.28 : x
  2. Step 2: Convert to fraction form
    9,688.66/14,529.74 = 3,113.28/x
  3. Step 3: Cross multiply
    9,688.66x = 14,529.74 × 3,113.28
  4. Step 4: Simplify right side
    9,688.66x = 45,235,148.95
  5. Step 5: Solve for x
    x = 45,235,148.95/9,688.66
  6. Step 6: Final answer
    x = 4,668.88

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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.