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Finding the Fourth Proportional to 9,472.46, 14,208.57 and 2,898.68

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Solution

The fourth proportional to 9,472.46, 14,208.57 and 2,898.68 is: 4,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.46 : 14,208.57 = 2,898.68 : x
  2. Step 2: Convert to fraction form
    9,472.46/14,208.57 = 2,898.68/x
  3. Step 3: Cross multiply
    9,472.46x = 14,208.57 × 2,898.68
  4. Step 4: Simplify right side
    9,472.46x = 41,186,097.69
  5. Step 5: Solve for x
    x = 41,186,097.69/9,472.46
  6. Step 6: Final answer
    x = 4,347.98

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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.