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Finding the Fourth Proportional to 9,714.17, 13,405.23 and 5,465.32

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Solution

The fourth proportional to 9,714.17, 13,405.23 and 5,465.32 is: 7,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.17 : 13,405.23 = 5,465.32 : x
  2. Step 2: Convert to fraction form
    9,714.17/13,405.23 = 5,465.32/x
  3. Step 3: Cross multiply
    9,714.17x = 13,405.23 × 5,465.32
  4. Step 4: Simplify right side
    9,714.17x = 73,263,838.11
  5. Step 5: Solve for x
    x = 73,263,838.11/9,714.17
  6. Step 6: Final answer
    x = 7,541.95

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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.