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Finding the Fourth Proportional to 9,068.16, 12,502.48 and 5,875.96

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Solution

The fourth proportional to 9,068.16, 12,502.48 and 5,875.96 is: 8,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.16 : 12,502.48 = 5,875.96 : x
  2. Step 2: Convert to fraction form
    9,068.16/12,502.48 = 5,875.96/x
  3. Step 3: Cross multiply
    9,068.16x = 12,502.48 × 5,875.96
  4. Step 4: Simplify right side
    9,068.16x = 73,464,072.38
  5. Step 5: Solve for x
    x = 73,464,072.38/9,068.16
  6. Step 6: Final answer
    x = 8,101.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.