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Finding the Fourth Proportional to 9,957.40, 14,937.78 and 4,110.80

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Solution

The fourth proportional to 9,957.40, 14,937.78 and 4,110.80 is: 6,166.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.40 : 14,937.78 = 4,110.80 : x
  2. Step 2: Convert to fraction form
    9,957.40/14,937.78 = 4,110.80/x
  3. Step 3: Cross multiply
    9,957.40x = 14,937.78 × 4,110.80
  4. Step 4: Simplify right side
    9,957.40x = 61,406,226.02
  5. Step 5: Solve for x
    x = 61,406,226.02/9,957.40
  6. Step 6: Final answer
    x = 6,166.89

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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.