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Finding the Fourth Proportional to 9,693.83, 14,533.70 and 4,426.00

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Solution

The fourth proportional to 9,693.83, 14,533.70 and 4,426.00 is: 6,635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.83 : 14,533.70 = 4,426.00 : x
  2. Step 2: Convert to fraction form
    9,693.83/14,533.70 = 4,426.00/x
  3. Step 3: Cross multiply
    9,693.83x = 14,533.70 × 4,426.00
  4. Step 4: Simplify right side
    9,693.83x = 64,326,097.74
  5. Step 5: Solve for x
    x = 64,326,097.74/9,693.83
  6. Step 6: Final answer
    x = 6,635.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.