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Finding the Fourth Proportional to 9,807.46, 13,534.60 and 6,032.86

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Solution

The fourth proportional to 9,807.46, 13,534.60 and 6,032.86 is: 8,325.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.46 : 13,534.60 = 6,032.86 : x
  2. Step 2: Convert to fraction form
    9,807.46/13,534.60 = 6,032.86/x
  3. Step 3: Cross multiply
    9,807.46x = 13,534.60 × 6,032.86
  4. Step 4: Simplify right side
    9,807.46x = 81,652,346.96
  5. Step 5: Solve for x
    x = 81,652,346.96/9,807.46
  6. Step 6: Final answer
    x = 8,325.53

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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.