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Finding the Fourth Proportional to 9,285.58, 12,814.50 and 5,307

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Solution

The fourth proportional to 9,285.58, 12,814.50 and 5,307 is: 7,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.58 : 12,814.50 = 5,307 : x
  2. Step 2: Convert to fraction form
    9,285.58/12,814.50 = 5,307/x
  3. Step 3: Cross multiply
    9,285.58x = 12,814.50 × 5,307
  4. Step 4: Simplify right side
    9,285.58x = 68,006,551.50
  5. Step 5: Solve for x
    x = 68,006,551.50/9,285.58
  6. Step 6: Final answer
    x = 7,323.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.