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Finding the Fourth Proportional to 9,831.99, 14,750.88 and 5,674.98

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Solution

The fourth proportional to 9,831.99, 14,750.88 and 5,674.98 is: 8,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.99 : 14,750.88 = 5,674.98 : x
  2. Step 2: Convert to fraction form
    9,831.99/14,750.88 = 5,674.98/x
  3. Step 3: Cross multiply
    9,831.99x = 14,750.88 × 5,674.98
  4. Step 4: Simplify right side
    9,831.99x = 83,710,948.98
  5. Step 5: Solve for x
    x = 83,710,948.98/9,831.99
  6. Step 6: Final answer
    x = 8,514.14

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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.