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Finding the Fourth Proportional to 9,698.04, 13,382.70 and 5,719.32

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Solution

The fourth proportional to 9,698.04, 13,382.70 and 5,719.32 is: 7,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.04 : 13,382.70 = 5,719.32 : x
  2. Step 2: Convert to fraction form
    9,698.04/13,382.70 = 5,719.32/x
  3. Step 3: Cross multiply
    9,698.04x = 13,382.70 × 5,719.32
  4. Step 4: Simplify right side
    9,698.04x = 76,539,943.76
  5. Step 5: Solve for x
    x = 76,539,943.76/9,698.04
  6. Step 6: Final answer
    x = 7,892.31

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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.