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Finding the Fourth Proportional to 9,823.80, 13,557.19 and 5,574.88

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Solution

The fourth proportional to 9,823.80, 13,557.19 and 5,574.88 is: 7,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.80 : 13,557.19 = 5,574.88 : x
  2. Step 2: Convert to fraction form
    9,823.80/13,557.19 = 5,574.88/x
  3. Step 3: Cross multiply
    9,823.80x = 13,557.19 × 5,574.88
  4. Step 4: Simplify right side
    9,823.80x = 75,579,639.60
  5. Step 5: Solve for x
    x = 75,579,639.60/9,823.80
  6. Step 6: Final answer
    x = 7,693.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.