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Finding the Fourth Proportional to 9,083, 12,534.64 and 5,308.76

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Solution

The fourth proportional to 9,083, 12,534.64 and 5,308.76 is: 7,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083 : 12,534.64 = 5,308.76 : x
  2. Step 2: Convert to fraction form
    9,083/12,534.64 = 5,308.76/x
  3. Step 3: Cross multiply
    9,083x = 12,534.64 × 5,308.76
  4. Step 4: Simplify right side
    9,083x = 66,543,395.45
  5. Step 5: Solve for x
    x = 66,543,395.45/9,083
  6. Step 6: Final answer
    x = 7,326.15

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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.