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Finding the Fourth Proportional to 9,318.78, 12,860.34 and 5,783.13

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Solution

The fourth proportional to 9,318.78, 12,860.34 and 5,783.13 is: 7,980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.78 : 12,860.34 = 5,783.13 : x
  2. Step 2: Convert to fraction form
    9,318.78/12,860.34 = 5,783.13/x
  3. Step 3: Cross multiply
    9,318.78x = 12,860.34 × 5,783.13
  4. Step 4: Simplify right side
    9,318.78x = 74,373,018.06
  5. Step 5: Solve for x
    x = 74,373,018.06/9,318.78
  6. Step 6: Final answer
    x = 7,980.98

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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.