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Finding the Fourth Proportional to 9,259.81, 12,778.55 and 5,068.06

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Solution

The fourth proportional to 9,259.81, 12,778.55 and 5,068.06 is: 6,993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.81 : 12,778.55 = 5,068.06 : x
  2. Step 2: Convert to fraction form
    9,259.81/12,778.55 = 5,068.06/x
  3. Step 3: Cross multiply
    9,259.81x = 12,778.55 × 5,068.06
  4. Step 4: Simplify right side
    9,259.81x = 64,762,458.11
  5. Step 5: Solve for x
    x = 64,762,458.11/9,259.81
  6. Step 6: Final answer
    x = 6,993.93

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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.