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Finding the Fourth Proportional to 9,706.10, 13,390.53 and 6,119.88

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Solution

The fourth proportional to 9,706.10, 13,390.53 and 6,119.88 is: 8,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.10 : 13,390.53 = 6,119.88 : x
  2. Step 2: Convert to fraction form
    9,706.10/13,390.53 = 6,119.88/x
  3. Step 3: Cross multiply
    9,706.10x = 13,390.53 × 6,119.88
  4. Step 4: Simplify right side
    9,706.10x = 81,948,436.74
  5. Step 5: Solve for x
    x = 81,948,436.74/9,706.10
  6. Step 6: Final answer
    x = 8,442.98

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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.