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Finding the Fourth Proportional to 9,881.46, 13,635.70 and 5,405.10

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Solution

The fourth proportional to 9,881.46, 13,635.70 and 5,405.10 is: 7,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.46 : 13,635.70 = 5,405.10 : x
  2. Step 2: Convert to fraction form
    9,881.46/13,635.70 = 5,405.10/x
  3. Step 3: Cross multiply
    9,881.46x = 13,635.70 × 5,405.10
  4. Step 4: Simplify right side
    9,881.46x = 73,702,322.07
  5. Step 5: Solve for x
    x = 73,702,322.07/9,881.46
  6. Step 6: Final answer
    x = 7,458.65

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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.