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Finding the Fourth Proportional to 9,911.42, 14,763.84 and 9,385.50

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Solution

The fourth proportional to 9,911.42, 14,763.84 and 9,385.50 is: 13,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.42 : 14,763.84 = 9,385.50 : x
  2. Step 2: Convert to fraction form
    9,911.42/14,763.84 = 9,385.50/x
  3. Step 3: Cross multiply
    9,911.42x = 14,763.84 × 9,385.50
  4. Step 4: Simplify right side
    9,911.42x = 138,566,020.32
  5. Step 5: Solve for x
    x = 138,566,020.32/9,911.42
  6. Step 6: Final answer
    x = 13,980.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.