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Finding the Fourth Proportional to 9,817.40, 13,538.66 and 7,575.72

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Solution

The fourth proportional to 9,817.40, 13,538.66 and 7,575.72 is: 10,447.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.40 : 13,538.66 = 7,575.72 : x
  2. Step 2: Convert to fraction form
    9,817.40/13,538.66 = 7,575.72/x
  3. Step 3: Cross multiply
    9,817.40x = 13,538.66 × 7,575.72
  4. Step 4: Simplify right side
    9,817.40x = 102,565,097.34
  5. Step 5: Solve for x
    x = 102,565,097.34/9,817.40
  6. Step 6: Final answer
    x = 10,447.28

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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.