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Finding the Fourth Proportional to 11,339.02, 15,642.40 and 9,764.38

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Solution

The fourth proportional to 11,339.02, 15,642.40 and 9,764.38 is: 13,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.02 : 15,642.40 = 9,764.38 : x
  2. Step 2: Convert to fraction form
    11,339.02/15,642.40 = 9,764.38/x
  3. Step 3: Cross multiply
    11,339.02x = 15,642.40 × 9,764.38
  4. Step 4: Simplify right side
    11,339.02x = 152,738,210.68
  5. Step 5: Solve for x
    x = 152,738,210.68/11,339.02
  6. Step 6: Final answer
    x = 13,470.15

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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.