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Finding the Fourth Proportional to 8,971.96, 13,459.74 and 3,127

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Solution

The fourth proportional to 8,971.96, 13,459.74 and 3,127 is: 4,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.96 : 13,459.74 = 3,127 : x
  2. Step 2: Convert to fraction form
    8,971.96/13,459.74 = 3,127/x
  3. Step 3: Cross multiply
    8,971.96x = 13,459.74 × 3,127
  4. Step 4: Simplify right side
    8,971.96x = 42,088,606.98
  5. Step 5: Solve for x
    x = 42,088,606.98/8,971.96
  6. Step 6: Final answer
    x = 4,691.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.