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Finding the Fourth Proportional to 9,627.84, 13,281.50 and 6,276.26

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Solution

The fourth proportional to 9,627.84, 13,281.50 and 6,276.26 is: 8,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.84 : 13,281.50 = 6,276.26 : x
  2. Step 2: Convert to fraction form
    9,627.84/13,281.50 = 6,276.26/x
  3. Step 3: Cross multiply
    9,627.84x = 13,281.50 × 6,276.26
  4. Step 4: Simplify right side
    9,627.84x = 83,358,147.19
  5. Step 5: Solve for x
    x = 83,358,147.19/9,627.84
  6. Step 6: Final answer
    x = 8,658.03

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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.