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Finding the Fourth Proportional to 9,368.80, 14,069.40 and 9,077.20

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Solution

The fourth proportional to 9,368.80, 14,069.40 and 9,077.20 is: 13,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.80 : 14,069.40 = 9,077.20 : x
  2. Step 2: Convert to fraction form
    9,368.80/14,069.40 = 9,077.20/x
  3. Step 3: Cross multiply
    9,368.80x = 14,069.40 × 9,077.20
  4. Step 4: Simplify right side
    9,368.80x = 127,710,757.68
  5. Step 5: Solve for x
    x = 127,710,757.68/9,368.80
  6. Step 6: Final answer
    x = 13,631.50

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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.