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Finding the Fourth Proportional to 9,719.34, 13,411.35 and 5,470.62

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Solution

The fourth proportional to 9,719.34, 13,411.35 and 5,470.62 is: 7,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.34 : 13,411.35 = 5,470.62 : x
  2. Step 2: Convert to fraction form
    9,719.34/13,411.35 = 5,470.62/x
  3. Step 3: Cross multiply
    9,719.34x = 13,411.35 × 5,470.62
  4. Step 4: Simplify right side
    9,719.34x = 73,368,399.54
  5. Step 5: Solve for x
    x = 73,368,399.54/9,719.34
  6. Step 6: Final answer
    x = 7,548.70

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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.