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Finding the Fourth Proportional to 9,873.69, 14,813.10 and 2,948.19

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Solution

The fourth proportional to 9,873.69, 14,813.10 and 2,948.19 is: 4,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.69 : 14,813.10 = 2,948.19 : x
  2. Step 2: Convert to fraction form
    9,873.69/14,813.10 = 2,948.19/x
  3. Step 3: Cross multiply
    9,873.69x = 14,813.10 × 2,948.19
  4. Step 4: Simplify right side
    9,873.69x = 43,671,833.29
  5. Step 5: Solve for x
    x = 43,671,833.29/9,873.69
  6. Step 6: Final answer
    x = 4,423.05

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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.