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Finding the Fourth Proportional to 9,827.58, 13,552.80 and 7,585.92

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Solution

The fourth proportional to 9,827.58, 13,552.80 and 7,585.92 is: 10,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.58 : 13,552.80 = 7,585.92 : x
  2. Step 2: Convert to fraction form
    9,827.58/13,552.80 = 7,585.92/x
  3. Step 3: Cross multiply
    9,827.58x = 13,552.80 × 7,585.92
  4. Step 4: Simplify right side
    9,827.58x = 102,810,456.58
  5. Step 5: Solve for x
    x = 102,810,456.58/9,827.58
  6. Step 6: Final answer
    x = 10,461.42

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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.