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Finding the Fourth Proportional to 12,347.32, 17,037.64 and 6,968.90

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Solution

The fourth proportional to 12,347.32, 17,037.64 and 6,968.90 is: 9,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.32 : 17,037.64 = 6,968.90 : x
  2. Step 2: Convert to fraction form
    12,347.32/17,037.64 = 6,968.90/x
  3. Step 3: Cross multiply
    12,347.32x = 17,037.64 × 6,968.90
  4. Step 4: Simplify right side
    12,347.32x = 118,733,588.82
  5. Step 5: Solve for x
    x = 118,733,588.82/12,347.32
  6. Step 6: Final answer
    x = 9,616.14

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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.