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Finding the Fourth Proportional to 9,702.65, 14,530.08 and 5,532.37

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Solution

The fourth proportional to 9,702.65, 14,530.08 and 5,532.37 is: 8,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.65 : 14,530.08 = 5,532.37 : x
  2. Step 2: Convert to fraction form
    9,702.65/14,530.08 = 5,532.37/x
  3. Step 3: Cross multiply
    9,702.65x = 14,530.08 × 5,532.37
  4. Step 4: Simplify right side
    9,702.65x = 80,385,763.11
  5. Step 5: Solve for x
    x = 80,385,763.11/9,702.65
  6. Step 6: Final answer
    x = 8,284.93

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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.