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Finding the Fourth Proportional to 10,295.09, 15,442.02 and 6,347.05

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Solution

The fourth proportional to 10,295.09, 15,442.02 and 6,347.05 is: 9,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.09 : 15,442.02 = 6,347.05 : x
  2. Step 2: Convert to fraction form
    10,295.09/15,442.02 = 6,347.05/x
  3. Step 3: Cross multiply
    10,295.09x = 15,442.02 × 6,347.05
  4. Step 4: Simplify right side
    10,295.09x = 98,011,273.04
  5. Step 5: Solve for x
    x = 98,011,273.04/10,295.09
  6. Step 6: Final answer
    x = 9,520.20

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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.