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Finding the Fourth Proportional to 9,703.12, 14,551.62 and 3,127.90

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Solution

The fourth proportional to 9,703.12, 14,551.62 and 3,127.90 is: 4,690.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.12 : 14,551.62 = 3,127.90 : x
  2. Step 2: Convert to fraction form
    9,703.12/14,551.62 = 3,127.90/x
  3. Step 3: Cross multiply
    9,703.12x = 14,551.62 × 3,127.90
  4. Step 4: Simplify right side
    9,703.12x = 45,516,012.20
  5. Step 5: Solve for x
    x = 45,516,012.20/9,703.12
  6. Step 6: Final answer
    x = 4,690.86

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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.