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Finding the Fourth Proportional to 9,452.34, 14,185.80 and 7,607.97

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Solution

The fourth proportional to 9,452.34, 14,185.80 and 7,607.97 is: 11,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.34 : 14,185.80 = 7,607.97 : x
  2. Step 2: Convert to fraction form
    9,452.34/14,185.80 = 7,607.97/x
  3. Step 3: Cross multiply
    9,452.34x = 14,185.80 × 7,607.97
  4. Step 4: Simplify right side
    9,452.34x = 107,925,140.83
  5. Step 5: Solve for x
    x = 107,925,140.83/9,452.34
  6. Step 6: Final answer
    x = 11,417.82

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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.