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Finding the Fourth Proportional to 9,807.17, 13,534.22 and 5,558.18

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Solution

The fourth proportional to 9,807.17, 13,534.22 and 5,558.18 is: 7,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.17 : 13,534.22 = 5,558.18 : x
  2. Step 2: Convert to fraction form
    9,807.17/13,534.22 = 5,558.18/x
  3. Step 3: Cross multiply
    9,807.17x = 13,534.22 × 5,558.18
  4. Step 4: Simplify right side
    9,807.17x = 75,225,577.14
  5. Step 5: Solve for x
    x = 75,225,577.14/9,807.17
  6. Step 6: Final answer
    x = 7,670.47

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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.