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Finding the Fourth Proportional to 9,698.94, 13,388.76 and 7,569.18

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Solution

The fourth proportional to 9,698.94, 13,388.76 and 7,569.18 is: 10,448.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.94 : 13,388.76 = 7,569.18 : x
  2. Step 2: Convert to fraction form
    9,698.94/13,388.76 = 7,569.18/x
  3. Step 3: Cross multiply
    9,698.94x = 13,388.76 × 7,569.18
  4. Step 4: Simplify right side
    9,698.94x = 101,341,934.42
  5. Step 5: Solve for x
    x = 101,341,934.42/9,698.94
  6. Step 6: Final answer
    x = 10,448.76

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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.