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Finding the Fourth Proportional to 9,780.93, 14,673.29 and 4,586.94

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Solution

The fourth proportional to 9,780.93, 14,673.29 and 4,586.94 is: 6,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.93 : 14,673.29 = 4,586.94 : x
  2. Step 2: Convert to fraction form
    9,780.93/14,673.29 = 4,586.94/x
  3. Step 3: Cross multiply
    9,780.93x = 14,673.29 × 4,586.94
  4. Step 4: Simplify right side
    9,780.93x = 67,305,477.90
  5. Step 5: Solve for x
    x = 67,305,477.90/9,780.93
  6. Step 6: Final answer
    x = 6,881.30

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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.