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Finding the Fourth Proportional to 9,131.46, 12,602.96 and 5,302.50

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Solution

The fourth proportional to 9,131.46, 12,602.96 and 5,302.50 is: 7,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.46 : 12,602.96 = 5,302.50 : x
  2. Step 2: Convert to fraction form
    9,131.46/12,602.96 = 5,302.50/x
  3. Step 3: Cross multiply
    9,131.46x = 12,602.96 × 5,302.50
  4. Step 4: Simplify right side
    9,131.46x = 66,827,188.77
  5. Step 5: Solve for x
    x = 66,827,188.77/9,131.46
  6. Step 6: Final answer
    x = 7,318.35

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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.