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Finding the Fourth Proportional to 9,294.51, 12,826.65 and 5,316

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Solution

The fourth proportional to 9,294.51, 12,826.65 and 5,316 is: 7,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.51 : 12,826.65 = 5,316 : x
  2. Step 2: Convert to fraction form
    9,294.51/12,826.65 = 5,316/x
  3. Step 3: Cross multiply
    9,294.51x = 12,826.65 × 5,316
  4. Step 4: Simplify right side
    9,294.51x = 68,186,471.40
  5. Step 5: Solve for x
    x = 68,186,471.40/9,294.51
  6. Step 6: Final answer
    x = 7,336.21

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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.