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Finding the Fourth Proportional to 12,631.06, 17,430.84 and 6,965.64

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Solution

The fourth proportional to 12,631.06, 17,430.84 and 6,965.64 is: 9,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.06 : 17,430.84 = 6,965.64 : x
  2. Step 2: Convert to fraction form
    12,631.06/17,430.84 = 6,965.64/x
  3. Step 3: Cross multiply
    12,631.06x = 17,430.84 × 6,965.64
  4. Step 4: Simplify right side
    12,631.06x = 121,416,956.34
  5. Step 5: Solve for x
    x = 121,416,956.34/12,631.06
  6. Step 6: Final answer
    x = 9,612.57

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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.