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Finding the Fourth Proportional to 9,289.59, 12,820.53 and 5,309.96

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Solution

The fourth proportional to 9,289.59, 12,820.53 and 5,309.96 is: 7,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.59 : 12,820.53 = 5,309.96 : x
  2. Step 2: Convert to fraction form
    9,289.59/12,820.53 = 5,309.96/x
  3. Step 3: Cross multiply
    9,289.59x = 12,820.53 × 5,309.96
  4. Step 4: Simplify right side
    9,289.59x = 68,076,437.38
  5. Step 5: Solve for x
    x = 68,076,437.38/9,289.59
  6. Step 6: Final answer
    x = 7,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.