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Finding the Fourth Proportional to 9,775.34, 14,609.32 and 7,148.36

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Solution

The fourth proportional to 9,775.34, 14,609.32 and 7,148.36 is: 10,683.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.34 : 14,609.32 = 7,148.36 : x
  2. Step 2: Convert to fraction form
    9,775.34/14,609.32 = 7,148.36/x
  3. Step 3: Cross multiply
    9,775.34x = 14,609.32 × 7,148.36
  4. Step 4: Simplify right side
    9,775.34x = 104,432,678.72
  5. Step 5: Solve for x
    x = 104,432,678.72/9,775.34
  6. Step 6: Final answer
    x = 10,683.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.