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Finding the Fourth Proportional to 9,412.94, 12,988.14 and 5,432.60

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Solution

The fourth proportional to 9,412.94, 12,988.14 and 5,432.60 is: 7,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.94 : 12,988.14 = 5,432.60 : x
  2. Step 2: Convert to fraction form
    9,412.94/12,988.14 = 5,432.60/x
  3. Step 3: Cross multiply
    9,412.94x = 12,988.14 × 5,432.60
  4. Step 4: Simplify right side
    9,412.94x = 70,559,369.36
  5. Step 5: Solve for x
    x = 70,559,369.36/9,412.94
  6. Step 6: Final answer
    x = 7,496.00

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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.