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Finding the Fourth Proportional to 10,322.00, 14,248.71 and 6,969.35

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Solution

The fourth proportional to 10,322.00, 14,248.71 and 6,969.35 is: 9,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.00 : 14,248.71 = 6,969.35 : x
  2. Step 2: Convert to fraction form
    10,322.00/14,248.71 = 6,969.35/x
  3. Step 3: Cross multiply
    10,322.00x = 14,248.71 × 6,969.35
  4. Step 4: Simplify right side
    10,322.00x = 99,304,175.79
  5. Step 5: Solve for x
    x = 99,304,175.79/10,322.00
  6. Step 6: Final answer
    x = 9,620.64

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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.