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Finding the Fourth Proportional to 9,140.40, 13,726.80 and 7,065.45

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Solution

The fourth proportional to 9,140.40, 13,726.80 and 7,065.45 is: 10,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.40 : 13,726.80 = 7,065.45 : x
  2. Step 2: Convert to fraction form
    9,140.40/13,726.80 = 7,065.45/x
  3. Step 3: Cross multiply
    9,140.40x = 13,726.80 × 7,065.45
  4. Step 4: Simplify right side
    9,140.40x = 96,986,019.06
  5. Step 5: Solve for x
    x = 96,986,019.06/9,140.40
  6. Step 6: Final answer
    x = 10,610.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.