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Finding the Fourth Proportional to 9,860.52, 14,794.56 and 4,666.80

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Solution

The fourth proportional to 9,860.52, 14,794.56 and 4,666.80 is: 7,001.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.52 : 14,794.56 = 4,666.80 : x
  2. Step 2: Convert to fraction form
    9,860.52/14,794.56 = 4,666.80/x
  3. Step 3: Cross multiply
    9,860.52x = 14,794.56 × 4,666.80
  4. Step 4: Simplify right side
    9,860.52x = 69,043,252.61
  5. Step 5: Solve for x
    x = 69,043,252.61/9,860.52
  6. Step 6: Final answer
    x = 7,001.99

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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.