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Finding the Fourth Proportional to 9,831.62, 14,762.22 and 8,459.90

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Solution

The fourth proportional to 9,831.62, 14,762.22 and 8,459.90 is: 12,702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.62 : 14,762.22 = 8,459.90 : x
  2. Step 2: Convert to fraction form
    9,831.62/14,762.22 = 8,459.90/x
  3. Step 3: Cross multiply
    9,831.62x = 14,762.22 × 8,459.90
  4. Step 4: Simplify right side
    9,831.62x = 124,886,904.98
  5. Step 5: Solve for x
    x = 124,886,904.98/9,831.62
  6. Step 6: Final answer
    x = 12,702.58

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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.