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Finding the Fourth Proportional to 9,777.06, 14,661.93 and 4,230

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Solution

The fourth proportional to 9,777.06, 14,661.93 and 4,230 is: 6,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.06 : 14,661.93 = 4,230 : x
  2. Step 2: Convert to fraction form
    9,777.06/14,661.93 = 4,230/x
  3. Step 3: Cross multiply
    9,777.06x = 14,661.93 × 4,230
  4. Step 4: Simplify right side
    9,777.06x = 62,019,963.90
  5. Step 5: Solve for x
    x = 62,019,963.90/9,777.06
  6. Step 6: Final answer
    x = 6,343.42

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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.