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Finding the Fourth Proportional to 9,977.35, 14,965.44 and 2,957.08

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Solution

The fourth proportional to 9,977.35, 14,965.44 and 2,957.08 is: 4,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.35 : 14,965.44 = 2,957.08 : x
  2. Step 2: Convert to fraction form
    9,977.35/14,965.44 = 2,957.08/x
  3. Step 3: Cross multiply
    9,977.35x = 14,965.44 × 2,957.08
  4. Step 4: Simplify right side
    9,977.35x = 44,254,003.32
  5. Step 5: Solve for x
    x = 44,254,003.32/9,977.35
  6. Step 6: Final answer
    x = 4,435.45

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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.