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Finding the Fourth Proportional to 9,977.90, 14,966.98 and 4,782.56

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Solution

The fourth proportional to 9,977.90, 14,966.98 and 4,782.56 is: 7,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.90 : 14,966.98 = 4,782.56 : x
  2. Step 2: Convert to fraction form
    9,977.90/14,966.98 = 4,782.56/x
  3. Step 3: Cross multiply
    9,977.90x = 14,966.98 × 4,782.56
  4. Step 4: Simplify right side
    9,977.90x = 71,580,393.08
  5. Step 5: Solve for x
    x = 71,580,393.08/9,977.90
  6. Step 6: Final answer
    x = 7,173.90

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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.