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Finding the Fourth Proportional to 9,880.42, 13,635.06 and 5,404.08

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Solution

The fourth proportional to 9,880.42, 13,635.06 and 5,404.08 is: 7,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.42 : 13,635.06 = 5,404.08 : x
  2. Step 2: Convert to fraction form
    9,880.42/13,635.06 = 5,404.08/x
  3. Step 3: Cross multiply
    9,880.42x = 13,635.06 × 5,404.08
  4. Step 4: Simplify right side
    9,880.42x = 73,684,955.04
  5. Step 5: Solve for x
    x = 73,684,955.04/9,880.42
  6. Step 6: Final answer
    x = 7,457.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.