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Finding the Fourth Proportional to 9,778.76, 13,483.32 and 7,127.36

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Solution

The fourth proportional to 9,778.76, 13,483.32 and 7,127.36 is: 9,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.76 : 13,483.32 = 7,127.36 : x
  2. Step 2: Convert to fraction form
    9,778.76/13,483.32 = 7,127.36/x
  3. Step 3: Cross multiply
    9,778.76x = 13,483.32 × 7,127.36
  4. Step 4: Simplify right side
    9,778.76x = 96,100,475.64
  5. Step 5: Solve for x
    x = 96,100,475.64/9,778.76
  6. Step 6: Final answer
    x = 9,827.47

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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.