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Finding the Fourth Proportional to 12,534.29, 17,297.74 and 6,869.05

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Solution

The fourth proportional to 12,534.29, 17,297.74 and 6,869.05 is: 9,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.29 : 17,297.74 = 6,869.05 : x
  2. Step 2: Convert to fraction form
    12,534.29/17,297.74 = 6,869.05/x
  3. Step 3: Cross multiply
    12,534.29x = 17,297.74 × 6,869.05
  4. Step 4: Simplify right side
    12,534.29x = 118,819,045.40
  5. Step 5: Solve for x
    x = 118,819,045.40/12,534.29
  6. Step 6: Final answer
    x = 9,479.52

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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.