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Finding the Fourth Proportional to 9,014.56, 13,490.16 and 7,797.28

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Solution

The fourth proportional to 9,014.56, 13,490.16 and 7,797.28 is: 11,668.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.56 : 13,490.16 = 7,797.28 : x
  2. Step 2: Convert to fraction form
    9,014.56/13,490.16 = 7,797.28/x
  3. Step 3: Cross multiply
    9,014.56x = 13,490.16 × 7,797.28
  4. Step 4: Simplify right side
    9,014.56x = 105,186,554.76
  5. Step 5: Solve for x
    x = 105,186,554.76/9,014.56
  6. Step 6: Final answer
    x = 11,668.52

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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.