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Finding the Fourth Proportional to 9,389.44, 14,085.76 and 3,232

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Solution

The fourth proportional to 9,389.44, 14,085.76 and 3,232 is: 4,848.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.44 : 14,085.76 = 3,232 : x
  2. Step 2: Convert to fraction form
    9,389.44/14,085.76 = 3,232/x
  3. Step 3: Cross multiply
    9,389.44x = 14,085.76 × 3,232
  4. Step 4: Simplify right side
    9,389.44x = 45,525,176.32
  5. Step 5: Solve for x
    x = 45,525,176.32/9,389.44
  6. Step 6: Final answer
    x = 4,848.55

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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.