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Finding the Fourth Proportional to 9,528.40, 14,289.90 and 6,013.14

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Solution

The fourth proportional to 9,528.40, 14,289.90 and 6,013.14 is: 9,018.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.40 : 14,289.90 = 6,013.14 : x
  2. Step 2: Convert to fraction form
    9,528.40/14,289.90 = 6,013.14/x
  3. Step 3: Cross multiply
    9,528.40x = 14,289.90 × 6,013.14
  4. Step 4: Simplify right side
    9,528.40x = 85,927,158.01
  5. Step 5: Solve for x
    x = 85,927,158.01/9,528.40
  6. Step 6: Final answer
    x = 9,018.01

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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.