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Finding the Fourth Proportional to 9,670.91, 14,509.13 and 4,742.01

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Solution

The fourth proportional to 9,670.91, 14,509.13 and 4,742.01 is: 7,114.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.91 : 14,509.13 = 4,742.01 : x
  2. Step 2: Convert to fraction form
    9,670.91/14,509.13 = 4,742.01/x
  3. Step 3: Cross multiply
    9,670.91x = 14,509.13 × 4,742.01
  4. Step 4: Simplify right side
    9,670.91x = 68,802,415.84
  5. Step 5: Solve for x
    x = 68,802,415.84/9,670.91
  6. Step 6: Final answer
    x = 7,114.37

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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.