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Finding the Fourth Proportional to 9,476.16, 14,218.02 and 5,319.06

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Solution

The fourth proportional to 9,476.16, 14,218.02 and 5,319.06 is: 7,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.16 : 14,218.02 = 5,319.06 : x
  2. Step 2: Convert to fraction form
    9,476.16/14,218.02 = 5,319.06/x
  3. Step 3: Cross multiply
    9,476.16x = 14,218.02 × 5,319.06
  4. Step 4: Simplify right side
    9,476.16x = 75,626,501.46
  5. Step 5: Solve for x
    x = 75,626,501.46/9,476.16
  6. Step 6: Final answer
    x = 7,980.71

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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.