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Finding the Fourth Proportional to 9,470.96, 14,205.72 and 2,897.18

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Solution

The fourth proportional to 9,470.96, 14,205.72 and 2,897.18 is: 4,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.96 : 14,205.72 = 2,897.18 : x
  2. Step 2: Convert to fraction form
    9,470.96/14,205.72 = 2,897.18/x
  3. Step 3: Cross multiply
    9,470.96x = 14,205.72 × 2,897.18
  4. Step 4: Simplify right side
    9,470.96x = 41,156,527.87
  5. Step 5: Solve for x
    x = 41,156,527.87/9,470.96
  6. Step 6: Final answer
    x = 4,345.55

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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.