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Finding the Fourth Proportional to 9,047.50, 13,569.12 and 4,602.22

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Solution

The fourth proportional to 9,047.50, 13,569.12 and 4,602.22 is: 6,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.50 : 13,569.12 = 4,602.22 : x
  2. Step 2: Convert to fraction form
    9,047.50/13,569.12 = 4,602.22/x
  3. Step 3: Cross multiply
    9,047.50x = 13,569.12 × 4,602.22
  4. Step 4: Simplify right side
    9,047.50x = 62,448,041.52
  5. Step 5: Solve for x
    x = 62,448,041.52/9,047.50
  6. Step 6: Final answer
    x = 6,902.24

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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.