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Finding the Fourth Proportional to 6,314.32, 9,473 and 1,931.48

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Solution

The fourth proportional to 6,314.32, 9,473 and 1,931.48 is: 2,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.32 : 9,473 = 1,931.48 : x
  2. Step 2: Convert to fraction form
    6,314.32/9,473 = 1,931.48/x
  3. Step 3: Cross multiply
    6,314.32x = 9,473 × 1,931.48
  4. Step 4: Simplify right side
    6,314.32x = 18,296,910.04
  5. Step 5: Solve for x
    x = 18,296,910.04/6,314.32
  6. Step 6: Final answer
    x = 2,897.68

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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.