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Finding the Fourth Proportional to 7,126.90, 9,819.01 and 4,971.37

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Solution

The fourth proportional to 7,126.90, 9,819.01 and 4,971.37 is: 6,849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.90 : 9,819.01 = 4,971.37 : x
  2. Step 2: Convert to fraction form
    7,126.90/9,819.01 = 4,971.37/x
  3. Step 3: Cross multiply
    7,126.90x = 9,819.01 × 4,971.37
  4. Step 4: Simplify right side
    7,126.90x = 48,813,931.74
  5. Step 5: Solve for x
    x = 48,813,931.74/7,126.90
  6. Step 6: Final answer
    x = 6,849.25

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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.