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Finding the Fourth Proportional to 9,289.48, 12,820.64 and 5,310.04

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Solution

The fourth proportional to 9,289.48, 12,820.64 and 5,310.04 is: 7,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.48 : 12,820.64 = 5,310.04 : x
  2. Step 2: Convert to fraction form
    9,289.48/12,820.64 = 5,310.04/x
  3. Step 3: Cross multiply
    9,289.48x = 12,820.64 × 5,310.04
  4. Step 4: Simplify right side
    9,289.48x = 68,078,111.23
  5. Step 5: Solve for x
    x = 68,078,111.23/9,289.48
  6. Step 6: Final answer
    x = 7,328.52

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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.