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Finding the Fourth Proportional to 9,762.10, 14,626.35 and 4,557.30

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Solution

The fourth proportional to 9,762.10, 14,626.35 and 4,557.30 is: 6,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.10 : 14,626.35 = 4,557.30 : x
  2. Step 2: Convert to fraction form
    9,762.10/14,626.35 = 4,557.30/x
  3. Step 3: Cross multiply
    9,762.10x = 14,626.35 × 4,557.30
  4. Step 4: Simplify right side
    9,762.10x = 66,656,664.86
  5. Step 5: Solve for x
    x = 66,656,664.86/9,762.10
  6. Step 6: Final answer
    x = 6,828.11

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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.