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Finding the Fourth Proportional to 12,347.28, 17,038.17 and 6,969.42

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Solution

The fourth proportional to 12,347.28, 17,038.17 and 6,969.42 is: 9,617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.28 : 17,038.17 = 6,969.42 : x
  2. Step 2: Convert to fraction form
    12,347.28/17,038.17 = 6,969.42/x
  3. Step 3: Cross multiply
    12,347.28x = 17,038.17 × 6,969.42
  4. Step 4: Simplify right side
    12,347.28x = 118,746,162.76
  5. Step 5: Solve for x
    x = 118,746,162.76/12,347.28
  6. Step 6: Final answer
    x = 9,617.19

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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.