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Finding the Fourth Proportional to 9,920.10, 14,860.65 and 5,751.34

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Solution

The fourth proportional to 9,920.10, 14,860.65 and 5,751.34 is: 8,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.10 : 14,860.65 = 5,751.34 : x
  2. Step 2: Convert to fraction form
    9,920.10/14,860.65 = 5,751.34/x
  3. Step 3: Cross multiply
    9,920.10x = 14,860.65 × 5,751.34
  4. Step 4: Simplify right side
    9,920.10x = 85,468,602.84
  5. Step 5: Solve for x
    x = 85,468,602.84/9,920.10
  6. Step 6: Final answer
    x = 8,615.70

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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.