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Finding the Fourth Proportional to 9,710.24, 14,571.40 and 4,444.40

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Solution

The fourth proportional to 9,710.24, 14,571.40 and 4,444.40 is: 6,669.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.24 : 14,571.40 = 4,444.40 : x
  2. Step 2: Convert to fraction form
    9,710.24/14,571.40 = 4,444.40/x
  3. Step 3: Cross multiply
    9,710.24x = 14,571.40 × 4,444.40
  4. Step 4: Simplify right side
    9,710.24x = 64,761,130.16
  5. Step 5: Solve for x
    x = 64,761,130.16/9,710.24
  6. Step 6: Final answer
    x = 6,669.36

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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.