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Finding the Fourth Proportional to 9,505.38, 14,260.53 and 2,931.42

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Solution

The fourth proportional to 9,505.38, 14,260.53 and 2,931.42 is: 4,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.38 : 14,260.53 = 2,931.42 : x
  2. Step 2: Convert to fraction form
    9,505.38/14,260.53 = 2,931.42/x
  3. Step 3: Cross multiply
    9,505.38x = 14,260.53 × 2,931.42
  4. Step 4: Simplify right side
    9,505.38x = 41,803,602.85
  5. Step 5: Solve for x
    x = 41,803,602.85/9,505.38
  6. Step 6: Final answer
    x = 4,397.89

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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.