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Finding the Fourth Proportional to 9,762.53, 14,643.98 and 3,523.01

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Solution

The fourth proportional to 9,762.53, 14,643.98 and 3,523.01 is: 5,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.53 : 14,643.98 = 3,523.01 : x
  2. Step 2: Convert to fraction form
    9,762.53/14,643.98 = 3,523.01/x
  3. Step 3: Cross multiply
    9,762.53x = 14,643.98 × 3,523.01
  4. Step 4: Simplify right side
    9,762.53x = 51,590,870.36
  5. Step 5: Solve for x
    x = 51,590,870.36/9,762.53
  6. Step 6: Final answer
    x = 5,284.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.