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Finding the Fourth Proportional to 9,316.74, 13,973.54 and 3,076.50

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Solution

The fourth proportional to 9,316.74, 13,973.54 and 3,076.50 is: 4,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.74 : 13,973.54 = 3,076.50 : x
  2. Step 2: Convert to fraction form
    9,316.74/13,973.54 = 3,076.50/x
  3. Step 3: Cross multiply
    9,316.74x = 13,973.54 × 3,076.50
  4. Step 4: Simplify right side
    9,316.74x = 42,989,595.81
  5. Step 5: Solve for x
    x = 42,989,595.81/9,316.74
  6. Step 6: Final answer
    x = 4,614.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.