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Finding the Fourth Proportional to 9,875.48, 14,805.53 and 4,942.58

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Solution

The fourth proportional to 9,875.48, 14,805.53 and 4,942.58 is: 7,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.48 : 14,805.53 = 4,942.58 : x
  2. Step 2: Convert to fraction form
    9,875.48/14,805.53 = 4,942.58/x
  3. Step 3: Cross multiply
    9,875.48x = 14,805.53 × 4,942.58
  4. Step 4: Simplify right side
    9,875.48x = 73,177,491.75
  5. Step 5: Solve for x
    x = 73,177,491.75/9,875.48
  6. Step 6: Final answer
    x = 7,410.02

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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.