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Finding the Fourth Proportional to 9,710.40, 14,570.88 and 4,169.28

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Solution

The fourth proportional to 9,710.40, 14,570.88 and 4,169.28 is: 6,256.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.40 : 14,570.88 = 4,169.28 : x
  2. Step 2: Convert to fraction form
    9,710.40/14,570.88 = 4,169.28/x
  3. Step 3: Cross multiply
    9,710.40x = 14,570.88 × 4,169.28
  4. Step 4: Simplify right side
    9,710.40x = 60,750,078.57
  5. Step 5: Solve for x
    x = 60,750,078.57/9,710.40
  6. Step 6: Final answer
    x = 6,256.19

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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.