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Finding the Fourth Proportional to 6,509.04, 8,981.64 and 5,328.24

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Solution

The fourth proportional to 6,509.04, 8,981.64 and 5,328.24 is: 7,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.04 : 8,981.64 = 5,328.24 : x
  2. Step 2: Convert to fraction form
    6,509.04/8,981.64 = 5,328.24/x
  3. Step 3: Cross multiply
    6,509.04x = 8,981.64 × 5,328.24
  4. Step 4: Simplify right side
    6,509.04x = 47,856,333.51
  5. Step 5: Solve for x
    x = 47,856,333.51/6,509.04
  6. Step 6: Final answer
    x = 7,352.29

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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.