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Finding the Fourth Proportional to 9,389.31, 12,956.52 and 5,407.75

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Solution

The fourth proportional to 9,389.31, 12,956.52 and 5,407.75 is: 7,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.31 : 12,956.52 = 5,407.75 : x
  2. Step 2: Convert to fraction form
    9,389.31/12,956.52 = 5,407.75/x
  3. Step 3: Cross multiply
    9,389.31x = 12,956.52 × 5,407.75
  4. Step 4: Simplify right side
    9,389.31x = 70,065,621.03
  5. Step 5: Solve for x
    x = 70,065,621.03/9,389.31
  6. Step 6: Final answer
    x = 7,462.28

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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.