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Finding the Fourth Proportional to 9,889.47, 14,814.59 and 5,202.40

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Solution

The fourth proportional to 9,889.47, 14,814.59 and 5,202.40 is: 7,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.47 : 14,814.59 = 5,202.40 : x
  2. Step 2: Convert to fraction form
    9,889.47/14,814.59 = 5,202.40/x
  3. Step 3: Cross multiply
    9,889.47x = 14,814.59 × 5,202.40
  4. Step 4: Simplify right side
    9,889.47x = 77,071,423.02
  5. Step 5: Solve for x
    x = 77,071,423.02/9,889.47
  6. Step 6: Final answer
    x = 7,793.28

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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.