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Finding the Fourth Proportional to 10,614.61, 14,643.62 and 6,628.81

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Solution

The fourth proportional to 10,614.61, 14,643.62 and 6,628.81 is: 9,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.61 : 14,643.62 = 6,628.81 : x
  2. Step 2: Convert to fraction form
    10,614.61/14,643.62 = 6,628.81/x
  3. Step 3: Cross multiply
    10,614.61x = 14,643.62 × 6,628.81
  4. Step 4: Simplify right side
    10,614.61x = 97,069,774.69
  5. Step 5: Solve for x
    x = 97,069,774.69/10,614.61
  6. Step 6: Final answer
    x = 9,144.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.