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Finding the Fourth Proportional to 9,666.84, 13,340.16 and 5,475

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Solution

The fourth proportional to 9,666.84, 13,340.16 and 5,475 is: 7,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.84 : 13,340.16 = 5,475 : x
  2. Step 2: Convert to fraction form
    9,666.84/13,340.16 = 5,475/x
  3. Step 3: Cross multiply
    9,666.84x = 13,340.16 × 5,475
  4. Step 4: Simplify right side
    9,666.84x = 73,037,376
  5. Step 5: Solve for x
    x = 73,037,376/9,666.84
  6. Step 6: Final answer
    x = 7,555.46

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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.