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Finding the Fourth Proportional to 9,486.72, 14,228.75 and 5,966.00

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Solution

The fourth proportional to 9,486.72, 14,228.75 and 5,966.00 is: 8,948.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.72 : 14,228.75 = 5,966.00 : x
  2. Step 2: Convert to fraction form
    9,486.72/14,228.75 = 5,966.00/x
  3. Step 3: Cross multiply
    9,486.72x = 14,228.75 × 5,966.00
  4. Step 4: Simplify right side
    9,486.72x = 84,888,621.53
  5. Step 5: Solve for x
    x = 84,888,621.53/9,486.72
  6. Step 6: Final answer
    x = 8,948.15

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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.