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Finding the Fourth Proportional to 9,795.52, 14,693.24 and 2,870

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Solution

The fourth proportional to 9,795.52, 14,693.24 and 2,870 is: 4,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.52 : 14,693.24 = 2,870 : x
  2. Step 2: Convert to fraction form
    9,795.52/14,693.24 = 2,870/x
  3. Step 3: Cross multiply
    9,795.52x = 14,693.24 × 2,870
  4. Step 4: Simplify right side
    9,795.52x = 42,169,598.80
  5. Step 5: Solve for x
    x = 42,169,598.80/9,795.52
  6. Step 6: Final answer
    x = 4,304.99

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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.