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Finding the Fourth Proportional to 34,643, 51,973.32 and 9,683.06

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Solution

The fourth proportional to 34,643, 51,973.32 and 9,683.06 is: 14,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,643 : 51,973.32 = 9,683.06 : x
  2. Step 2: Convert to fraction form
    34,643/51,973.32 = 9,683.06/x
  3. Step 3: Cross multiply
    34,643x = 51,973.32 × 9,683.06
  4. Step 4: Simplify right side
    34,643x = 503,260,775.96
  5. Step 5: Solve for x
    x = 503,260,775.96/34,643
  6. Step 6: Final answer
    x = 14,527.06

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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.