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Finding the Fourth Proportional to 9,907.24, 13,672.26 and 7,117.96

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Solution

The fourth proportional to 9,907.24, 13,672.26 and 7,117.96 is: 9,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.24 : 13,672.26 = 7,117.96 : x
  2. Step 2: Convert to fraction form
    9,907.24/13,672.26 = 7,117.96/x
  3. Step 3: Cross multiply
    9,907.24x = 13,672.26 × 7,117.96
  4. Step 4: Simplify right side
    9,907.24x = 97,318,599.79
  5. Step 5: Solve for x
    x = 97,318,599.79/9,907.24
  6. Step 6: Final answer
    x = 9,822.98

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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.