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Finding the Fourth Proportional to 9,762.57, 14,636.90 and 4,565.61

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Solution

The fourth proportional to 9,762.57, 14,636.90 and 4,565.61 is: 6,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.57 : 14,636.90 = 4,565.61 : x
  2. Step 2: Convert to fraction form
    9,762.57/14,636.90 = 4,565.61/x
  3. Step 3: Cross multiply
    9,762.57x = 14,636.90 × 4,565.61
  4. Step 4: Simplify right side
    9,762.57x = 66,826,354.18
  5. Step 5: Solve for x
    x = 66,826,354.18/9,762.57
  6. Step 6: Final answer
    x = 6,845.16

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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.