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Finding the Fourth Proportional to 9,719.36, 13,411.46 and 5,470.31

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Solution

The fourth proportional to 9,719.36, 13,411.46 and 5,470.31 is: 7,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.36 : 13,411.46 = 5,470.31 : x
  2. Step 2: Convert to fraction form
    9,719.36/13,411.46 = 5,470.31/x
  3. Step 3: Cross multiply
    9,719.36x = 13,411.46 × 5,470.31
  4. Step 4: Simplify right side
    9,719.36x = 73,364,749.34
  5. Step 5: Solve for x
    x = 73,364,749.34/9,719.36
  6. Step 6: Final answer
    x = 7,548.31

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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.