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Finding the Fourth Proportional to 9,490.86, 13,098.12 and 6,984.45

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Solution

The fourth proportional to 9,490.86, 13,098.12 and 6,984.45 is: 9,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.86 : 13,098.12 = 6,984.45 : x
  2. Step 2: Convert to fraction form
    9,490.86/13,098.12 = 6,984.45/x
  3. Step 3: Cross multiply
    9,490.86x = 13,098.12 × 6,984.45
  4. Step 4: Simplify right side
    9,490.86x = 91,483,164.23
  5. Step 5: Solve for x
    x = 91,483,164.23/9,490.86
  6. Step 6: Final answer
    x = 9,639.08

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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.