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Finding the Fourth Proportional to 9,470.10, 14,205.15 and 4,205.10

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Solution

The fourth proportional to 9,470.10, 14,205.15 and 4,205.10 is: 6,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.10 : 14,205.15 = 4,205.10 : x
  2. Step 2: Convert to fraction form
    9,470.10/14,205.15 = 4,205.10/x
  3. Step 3: Cross multiply
    9,470.10x = 14,205.15 × 4,205.10
  4. Step 4: Simplify right side
    9,470.10x = 59,734,076.27
  5. Step 5: Solve for x
    x = 59,734,076.27/9,470.10
  6. Step 6: Final answer
    x = 6,307.65

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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.