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Finding the Fourth Proportional to 9,801.13, 14,704.19 and 2,875.63

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Solution

The fourth proportional to 9,801.13, 14,704.19 and 2,875.63 is: 4,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.13 : 14,704.19 = 2,875.63 : x
  2. Step 2: Convert to fraction form
    9,801.13/14,704.19 = 2,875.63/x
  3. Step 3: Cross multiply
    9,801.13x = 14,704.19 × 2,875.63
  4. Step 4: Simplify right side
    9,801.13x = 42,283,809.89
  5. Step 5: Solve for x
    x = 42,283,809.89/9,801.13
  6. Step 6: Final answer
    x = 4,314.18

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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.