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Finding the Fourth Proportional to 9,854.56, 14,784.54 and 4,918.24

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Solution

The fourth proportional to 9,854.56, 14,784.54 and 4,918.24 is: 7,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.56 : 14,784.54 = 4,918.24 : x
  2. Step 2: Convert to fraction form
    9,854.56/14,784.54 = 4,918.24/x
  3. Step 3: Cross multiply
    9,854.56x = 14,784.54 × 4,918.24
  4. Step 4: Simplify right side
    9,854.56x = 72,713,916.01
  5. Step 5: Solve for x
    x = 72,713,916.01/9,854.56
  6. Step 6: Final answer
    x = 7,378.71

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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.