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Finding the Fourth Proportional to 9,130.90, 13,684.20 and 6,530.80

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Solution

The fourth proportional to 9,130.90, 13,684.20 and 6,530.80 is: 9,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.90 : 13,684.20 = 6,530.80 : x
  2. Step 2: Convert to fraction form
    9,130.90/13,684.20 = 6,530.80/x
  3. Step 3: Cross multiply
    9,130.90x = 13,684.20 × 6,530.80
  4. Step 4: Simplify right side
    9,130.90x = 89,368,773.36
  5. Step 5: Solve for x
    x = 89,368,773.36/9,130.90
  6. Step 6: Final answer
    x = 9,787.51

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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.