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Finding the Fourth Proportional to 9,510.89, 13,125.04 and 5,319.14

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Solution

The fourth proportional to 9,510.89, 13,125.04 and 5,319.14 is: 7,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.89 : 13,125.04 = 5,319.14 : x
  2. Step 2: Convert to fraction form
    9,510.89/13,125.04 = 5,319.14/x
  3. Step 3: Cross multiply
    9,510.89x = 13,125.04 × 5,319.14
  4. Step 4: Simplify right side
    9,510.89x = 69,813,846.34
  5. Step 5: Solve for x
    x = 69,813,846.34/9,510.89
  6. Step 6: Final answer
    x = 7,340.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.