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Finding the Fourth Proportional to 9,818.68, 13,554.80 and 7,575.52

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Solution

The fourth proportional to 9,818.68, 13,554.80 and 7,575.52 is: 10,458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.68 : 13,554.80 = 7,575.52 : x
  2. Step 2: Convert to fraction form
    9,818.68/13,554.80 = 7,575.52/x
  3. Step 3: Cross multiply
    9,818.68x = 13,554.80 × 7,575.52
  4. Step 4: Simplify right side
    9,818.68x = 102,684,658.50
  5. Step 5: Solve for x
    x = 102,684,658.50/9,818.68
  6. Step 6: Final answer
    x = 10,458.09

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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.