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Finding the Fourth Proportional to 9,430.94, 14,133 and 6,946.22

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Solution

The fourth proportional to 9,430.94, 14,133 and 6,946.22 is: 10,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.94 : 14,133 = 6,946.22 : x
  2. Step 2: Convert to fraction form
    9,430.94/14,133 = 6,946.22/x
  3. Step 3: Cross multiply
    9,430.94x = 14,133 × 6,946.22
  4. Step 4: Simplify right side
    9,430.94x = 98,170,927.26
  5. Step 5: Solve for x
    x = 98,170,927.26/9,430.94
  6. Step 6: Final answer
    x = 10,409.45

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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.