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Finding the Fourth Proportional to 9,740.90, 14,602.80 and 5,782.40

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Solution

The fourth proportional to 9,740.90, 14,602.80 and 5,782.40 is: 8,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.90 : 14,602.80 = 5,782.40 : x
  2. Step 2: Convert to fraction form
    9,740.90/14,602.80 = 5,782.40/x
  3. Step 3: Cross multiply
    9,740.90x = 14,602.80 × 5,782.40
  4. Step 4: Simplify right side
    9,740.90x = 84,439,230.72
  5. Step 5: Solve for x
    x = 84,439,230.72/9,740.90
  6. Step 6: Final answer
    x = 8,668.52

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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.