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Finding the Fourth Proportional to 9,349.16, 12,901.59 and 5,157.41

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Solution

The fourth proportional to 9,349.16, 12,901.59 and 5,157.41 is: 7,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.16 : 12,901.59 = 5,157.41 : x
  2. Step 2: Convert to fraction form
    9,349.16/12,901.59 = 5,157.41/x
  3. Step 3: Cross multiply
    9,349.16x = 12,901.59 × 5,157.41
  4. Step 4: Simplify right side
    9,349.16x = 66,538,724.77
  5. Step 5: Solve for x
    x = 66,538,724.77/9,349.16
  6. Step 6: Final answer
    x = 7,117.08

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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.