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Finding the Fourth Proportional to 9,572.04, 14,358.51 and 2,646.54

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Solution

The fourth proportional to 9,572.04, 14,358.51 and 2,646.54 is: 3,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.04 : 14,358.51 = 2,646.54 : x
  2. Step 2: Convert to fraction form
    9,572.04/14,358.51 = 2,646.54/x
  3. Step 3: Cross multiply
    9,572.04x = 14,358.51 × 2,646.54
  4. Step 4: Simplify right side
    9,572.04x = 38,000,371.06
  5. Step 5: Solve for x
    x = 38,000,371.06/9,572.04
  6. Step 6: Final answer
    x = 3,969.93

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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.