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Finding the Fourth Proportional to 9,482.65, 14,225.79 and 2,907.68

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Solution

The fourth proportional to 9,482.65, 14,225.79 and 2,907.68 is: 4,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.65 : 14,225.79 = 2,907.68 : x
  2. Step 2: Convert to fraction form
    9,482.65/14,225.79 = 2,907.68/x
  3. Step 3: Cross multiply
    9,482.65x = 14,225.79 × 2,907.68
  4. Step 4: Simplify right side
    9,482.65x = 41,364,045.07
  5. Step 5: Solve for x
    x = 41,364,045.07/9,482.65
  6. Step 6: Final answer
    x = 4,362.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.