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Finding the Fourth Proportional to 9,617.52, 14,430.58 and 5,228.40

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Solution

The fourth proportional to 9,617.52, 14,430.58 and 5,228.40 is: 7,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.52 : 14,430.58 = 5,228.40 : x
  2. Step 2: Convert to fraction form
    9,617.52/14,430.58 = 5,228.40/x
  3. Step 3: Cross multiply
    9,617.52x = 14,430.58 × 5,228.40
  4. Step 4: Simplify right side
    9,617.52x = 75,448,844.47
  5. Step 5: Solve for x
    x = 75,448,844.47/9,617.52
  6. Step 6: Final answer
    x = 7,844.94

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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.