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Finding the Fourth Proportional to 9,307.77, 12,807.18 and 9,086.33

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Solution

The fourth proportional to 9,307.77, 12,807.18 and 9,086.33 is: 12,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.77 : 12,807.18 = 9,086.33 : x
  2. Step 2: Convert to fraction form
    9,307.77/12,807.18 = 9,086.33/x
  3. Step 3: Cross multiply
    9,307.77x = 12,807.18 × 9,086.33
  4. Step 4: Simplify right side
    9,307.77x = 116,370,199.81
  5. Step 5: Solve for x
    x = 116,370,199.81/9,307.77
  6. Step 6: Final answer
    x = 12,502.48

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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.