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Finding the Fourth Proportional to 9,572.32, 14,358.56 and 2,647.36

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Solution

The fourth proportional to 9,572.32, 14,358.56 and 2,647.36 is: 3,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.32 : 14,358.56 = 2,647.36 : x
  2. Step 2: Convert to fraction form
    9,572.32/14,358.56 = 2,647.36/x
  3. Step 3: Cross multiply
    9,572.32x = 14,358.56 × 2,647.36
  4. Step 4: Simplify right side
    9,572.32x = 38,012,277.40
  5. Step 5: Solve for x
    x = 38,012,277.40/9,572.32
  6. Step 6: Final answer
    x = 3,971.06

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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.