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Finding the Fourth Proportional to 9,468.51, 14,209.94 and 5,312.01

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Solution

The fourth proportional to 9,468.51, 14,209.94 and 5,312.01 is: 7,972.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.51 : 14,209.94 = 5,312.01 : x
  2. Step 2: Convert to fraction form
    9,468.51/14,209.94 = 5,312.01/x
  3. Step 3: Cross multiply
    9,468.51x = 14,209.94 × 5,312.01
  4. Step 4: Simplify right side
    9,468.51x = 75,483,409.95
  5. Step 5: Solve for x
    x = 75,483,409.95/9,468.51
  6. Step 6: Final answer
    x = 7,972.05

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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.