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Finding the Fourth Proportional to 9,876.16, 14,812.05 and 2,854.64

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Solution

The fourth proportional to 9,876.16, 14,812.05 and 2,854.64 is: 4,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.16 : 14,812.05 = 2,854.64 : x
  2. Step 2: Convert to fraction form
    9,876.16/14,812.05 = 2,854.64/x
  3. Step 3: Cross multiply
    9,876.16x = 14,812.05 × 2,854.64
  4. Step 4: Simplify right side
    9,876.16x = 42,283,102.09
  5. Step 5: Solve for x
    x = 42,283,102.09/9,876.16
  6. Step 6: Final answer
    x = 4,281.33

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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.