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Finding the Fourth Proportional to 9,359.61, 13,954.27 and 8,307.80

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Solution

The fourth proportional to 9,359.61, 13,954.27 and 8,307.80 is: 12,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.61 : 13,954.27 = 8,307.80 : x
  2. Step 2: Convert to fraction form
    9,359.61/13,954.27 = 8,307.80/x
  3. Step 3: Cross multiply
    9,359.61x = 13,954.27 × 8,307.80
  4. Step 4: Simplify right side
    9,359.61x = 115,929,284.31
  5. Step 5: Solve for x
    x = 115,929,284.31/9,359.61
  6. Step 6: Final answer
    x = 12,386.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.