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Finding the Fourth Proportional to 9,205.34, 13,810.77 and 7,127.69

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Solution

The fourth proportional to 9,205.34, 13,810.77 and 7,127.69 is: 10,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.34 : 13,810.77 = 7,127.69 : x
  2. Step 2: Convert to fraction form
    9,205.34/13,810.77 = 7,127.69/x
  3. Step 3: Cross multiply
    9,205.34x = 13,810.77 × 7,127.69
  4. Step 4: Simplify right side
    9,205.34x = 98,438,818.17
  5. Step 5: Solve for x
    x = 98,438,818.17/9,205.34
  6. Step 6: Final answer
    x = 10,693.67

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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.