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Finding the Fourth Proportional to 9,165.90, 12,653.55 and 7,668.30

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Solution

The fourth proportional to 9,165.90, 12,653.55 and 7,668.30 is: 10,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.90 : 12,653.55 = 7,668.30 : x
  2. Step 2: Convert to fraction form
    9,165.90/12,653.55 = 7,668.30/x
  3. Step 3: Cross multiply
    9,165.90x = 12,653.55 × 7,668.30
  4. Step 4: Simplify right side
    9,165.90x = 97,031,217.47
  5. Step 5: Solve for x
    x = 97,031,217.47/9,165.90
  6. Step 6: Final answer
    x = 10,586.11

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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.