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Finding the Fourth Proportional to 9,881.91, 13,636.80 and 5,405.40

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Solution

The fourth proportional to 9,881.91, 13,636.80 and 5,405.40 is: 7,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.91 : 13,636.80 = 5,405.40 : x
  2. Step 2: Convert to fraction form
    9,881.91/13,636.80 = 5,405.40/x
  3. Step 3: Cross multiply
    9,881.91x = 13,636.80 × 5,405.40
  4. Step 4: Simplify right side
    9,881.91x = 73,712,358.72
  5. Step 5: Solve for x
    x = 73,712,358.72/9,881.91
  6. Step 6: Final answer
    x = 7,459.32

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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.