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Finding the Fourth Proportional to 9,288.04, 12,814.70 and 5,699.32

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Solution

The fourth proportional to 9,288.04, 12,814.70 and 5,699.32 is: 7,863.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.04 : 12,814.70 = 5,699.32 : x
  2. Step 2: Convert to fraction form
    9,288.04/12,814.70 = 5,699.32/x
  3. Step 3: Cross multiply
    9,288.04x = 12,814.70 × 5,699.32
  4. Step 4: Simplify right side
    9,288.04x = 73,035,076.00
  5. Step 5: Solve for x
    x = 73,035,076.00/9,288.04
  6. Step 6: Final answer
    x = 7,863.35

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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.