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Finding the Fourth Proportional to 9,352, 14,030.04 and 2,778.64

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Solution

The fourth proportional to 9,352, 14,030.04 and 2,778.64 is: 4,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352 : 14,030.04 = 2,778.64 : x
  2. Step 2: Convert to fraction form
    9,352/14,030.04 = 2,778.64/x
  3. Step 3: Cross multiply
    9,352x = 14,030.04 × 2,778.64
  4. Step 4: Simplify right side
    9,352x = 38,984,430.35
  5. Step 5: Solve for x
    x = 38,984,430.35/9,352
  6. Step 6: Final answer
    x = 4,168.57

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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.