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Finding the Fourth Proportional to 9,048.24, 12,484.72 and 6,534.16

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Solution

The fourth proportional to 9,048.24, 12,484.72 and 6,534.16 is: 9,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.24 : 12,484.72 = 6,534.16 : x
  2. Step 2: Convert to fraction form
    9,048.24/12,484.72 = 6,534.16/x
  3. Step 3: Cross multiply
    9,048.24x = 12,484.72 × 6,534.16
  4. Step 4: Simplify right side
    9,048.24x = 81,577,158.04
  5. Step 5: Solve for x
    x = 81,577,158.04/9,048.24
  6. Step 6: Final answer
    x = 9,015.80

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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.