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Finding the Fourth Proportional to 9,677.34, 13,355.28 and 7,315.38

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Solution

The fourth proportional to 9,677.34, 13,355.28 and 7,315.38 is: 10,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.34 : 13,355.28 = 7,315.38 : x
  2. Step 2: Convert to fraction form
    9,677.34/13,355.28 = 7,315.38/x
  3. Step 3: Cross multiply
    9,677.34x = 13,355.28 × 7,315.38
  4. Step 4: Simplify right side
    9,677.34x = 97,698,948.21
  5. Step 5: Solve for x
    x = 97,698,948.21/9,677.34
  6. Step 6: Final answer
    x = 10,095.64

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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.