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Finding the Fourth Proportional to 9,714.97, 13,405.47 and 5,465.17

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Solution

The fourth proportional to 9,714.97, 13,405.47 and 5,465.17 is: 7,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.97 : 13,405.47 = 5,465.17 : x
  2. Step 2: Convert to fraction form
    9,714.97/13,405.47 = 5,465.17/x
  3. Step 3: Cross multiply
    9,714.97x = 13,405.47 × 5,465.17
  4. Step 4: Simplify right side
    9,714.97x = 73,263,172.48
  5. Step 5: Solve for x
    x = 73,263,172.48/9,714.97
  6. Step 6: Final answer
    x = 7,541.27

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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.