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Finding the Fourth Proportional to 7,036.38, 9,688.95 and 6,674.94

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Solution

The fourth proportional to 7,036.38, 9,688.95 and 6,674.94 is: 9,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036.38 : 9,688.95 = 6,674.94 : x
  2. Step 2: Convert to fraction form
    7,036.38/9,688.95 = 6,674.94/x
  3. Step 3: Cross multiply
    7,036.38x = 9,688.95 × 6,674.94
  4. Step 4: Simplify right side
    7,036.38x = 64,673,159.91
  5. Step 5: Solve for x
    x = 64,673,159.91/7,036.38
  6. Step 6: Final answer
    x = 9,191.25

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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.