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Finding the Fourth Proportional to 9,368.80, 13,986.68 and 8,332

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Solution

The fourth proportional to 9,368.80, 13,986.68 and 8,332 is: 12,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.80 : 13,986.68 = 8,332 : x
  2. Step 2: Convert to fraction form
    9,368.80/13,986.68 = 8,332/x
  3. Step 3: Cross multiply
    9,368.80x = 13,986.68 × 8,332
  4. Step 4: Simplify right side
    9,368.80x = 116,537,017.76
  5. Step 5: Solve for x
    x = 116,537,017.76/9,368.80
  6. Step 6: Final answer
    x = 12,438.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.