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Finding the Fourth Proportional to 9,812.35, 14,717.49 and 5,130.46

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Solution

The fourth proportional to 9,812.35, 14,717.49 and 5,130.46 is: 7,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.35 : 14,717.49 = 5,130.46 : x
  2. Step 2: Convert to fraction form
    9,812.35/14,717.49 = 5,130.46/x
  3. Step 3: Cross multiply
    9,812.35x = 14,717.49 × 5,130.46
  4. Step 4: Simplify right side
    9,812.35x = 75,507,506.57
  5. Step 5: Solve for x
    x = 75,507,506.57/9,812.35
  6. Step 6: Final answer
    x = 7,695.15

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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.