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Finding the Fourth Proportional to 9,703.59, 14,558.01 and 4,441.96

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Solution

The fourth proportional to 9,703.59, 14,558.01 and 4,441.96 is: 6,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.59 : 14,558.01 = 4,441.96 : x
  2. Step 2: Convert to fraction form
    9,703.59/14,558.01 = 4,441.96/x
  3. Step 3: Cross multiply
    9,703.59x = 14,558.01 × 4,441.96
  4. Step 4: Simplify right side
    9,703.59x = 64,666,098.10
  5. Step 5: Solve for x
    x = 64,666,098.10/9,703.59
  6. Step 6: Final answer
    x = 6,664.14

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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.