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Finding the Fourth Proportional to 9,574.29, 14,360.36 and 2,648.25

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Solution

The fourth proportional to 9,574.29, 14,360.36 and 2,648.25 is: 3,972.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.29 : 14,360.36 = 2,648.25 : x
  2. Step 2: Convert to fraction form
    9,574.29/14,360.36 = 2,648.25/x
  3. Step 3: Cross multiply
    9,574.29x = 14,360.36 × 2,648.25
  4. Step 4: Simplify right side
    9,574.29x = 38,029,810.13
  5. Step 5: Solve for x
    x = 38,029,810.13/9,574.29
  6. Step 6: Final answer
    x = 3,972.08

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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.