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Finding the Fourth Proportional to 9,718.36, 13,417.79 and 7,476.28

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Solution

The fourth proportional to 9,718.36, 13,417.79 and 7,476.28 is: 10,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.36 : 13,417.79 = 7,476.28 : x
  2. Step 2: Convert to fraction form
    9,718.36/13,417.79 = 7,476.28/x
  3. Step 3: Cross multiply
    9,718.36x = 13,417.79 × 7,476.28
  4. Step 4: Simplify right side
    9,718.36x = 100,315,155.02
  5. Step 5: Solve for x
    x = 100,315,155.02/9,718.36
  6. Step 6: Final answer
    x = 10,322.23

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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.