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Finding the Fourth Proportional to 9,510.84, 13,124.96 and 5,319.08

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Solution

The fourth proportional to 9,510.84, 13,124.96 and 5,319.08 is: 7,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.84 : 13,124.96 = 5,319.08 : x
  2. Step 2: Convert to fraction form
    9,510.84/13,124.96 = 5,319.08/x
  3. Step 3: Cross multiply
    9,510.84x = 13,124.96 × 5,319.08
  4. Step 4: Simplify right side
    9,510.84x = 69,812,712.24
  5. Step 5: Solve for x
    x = 69,812,712.24/9,510.84
  6. Step 6: Final answer
    x = 7,340.33

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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.