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Finding the Fourth Proportional to 9,029.40, 13,538.70 and 4,655.40

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Solution

The fourth proportional to 9,029.40, 13,538.70 and 4,655.40 is: 6,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.40 : 13,538.70 = 4,655.40 : x
  2. Step 2: Convert to fraction form
    9,029.40/13,538.70 = 4,655.40/x
  3. Step 3: Cross multiply
    9,029.40x = 13,538.70 × 4,655.40
  4. Step 4: Simplify right side
    9,029.40x = 63,028,063.98
  5. Step 5: Solve for x
    x = 63,028,063.98/9,029.40
  6. Step 6: Final answer
    x = 6,980.32

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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.