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Finding the Fourth Proportional to 9,558.31, 13,207.58 and 7,478.23

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Solution

The fourth proportional to 9,558.31, 13,207.58 and 7,478.23 is: 10,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558.31 : 13,207.58 = 7,478.23 : x
  2. Step 2: Convert to fraction form
    9,558.31/13,207.58 = 7,478.23/x
  3. Step 3: Cross multiply
    9,558.31x = 13,207.58 × 7,478.23
  4. Step 4: Simplify right side
    9,558.31x = 98,769,320.98
  5. Step 5: Solve for x
    x = 98,769,320.98/9,558.31
  6. Step 6: Final answer
    x = 10,333.35

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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.