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Finding the Fourth Proportional to 9,095.40, 13,643.10 and 5,798.70

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Solution

The fourth proportional to 9,095.40, 13,643.10 and 5,798.70 is: 8,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,095.40 : 13,643.10 = 5,798.70 : x
  2. Step 2: Convert to fraction form
    9,095.40/13,643.10 = 5,798.70/x
  3. Step 3: Cross multiply
    9,095.40x = 13,643.10 × 5,798.70
  4. Step 4: Simplify right side
    9,095.40x = 79,112,243.97
  5. Step 5: Solve for x
    x = 79,112,243.97/9,095.40
  6. Step 6: Final answer
    x = 8,698.05

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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.