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Finding the Fourth Proportional to 9,368.85, 14,048.64 and 4,985.13

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Solution

The fourth proportional to 9,368.85, 14,048.64 and 4,985.13 is: 7,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.85 : 14,048.64 = 4,985.13 : x
  2. Step 2: Convert to fraction form
    9,368.85/14,048.64 = 4,985.13/x
  3. Step 3: Cross multiply
    9,368.85x = 14,048.64 × 4,985.13
  4. Step 4: Simplify right side
    9,368.85x = 70,034,296.72
  5. Step 5: Solve for x
    x = 70,034,296.72/9,368.85
  6. Step 6: Final answer
    x = 7,475.23

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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.