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Finding the Fourth Proportional to 9,496.48, 14,243.76 and 3,340

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Solution

The fourth proportional to 9,496.48, 14,243.76 and 3,340 is: 5,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.48 : 14,243.76 = 3,340 : x
  2. Step 2: Convert to fraction form
    9,496.48/14,243.76 = 3,340/x
  3. Step 3: Cross multiply
    9,496.48x = 14,243.76 × 3,340
  4. Step 4: Simplify right side
    9,496.48x = 47,574,158.40
  5. Step 5: Solve for x
    x = 47,574,158.40/9,496.48
  6. Step 6: Final answer
    x = 5,009.66

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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.