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Finding the Fourth Proportional to 9,715.48, 14,574.66 and 3,559

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Solution

The fourth proportional to 9,715.48, 14,574.66 and 3,559 is: 5,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.48 : 14,574.66 = 3,559 : x
  2. Step 2: Convert to fraction form
    9,715.48/14,574.66 = 3,559/x
  3. Step 3: Cross multiply
    9,715.48x = 14,574.66 × 3,559
  4. Step 4: Simplify right side
    9,715.48x = 51,871,214.94
  5. Step 5: Solve for x
    x = 51,871,214.94/9,715.48
  6. Step 6: Final answer
    x = 5,339.03

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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.