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Finding the Fourth Proportional to 10,349.37, 15,444.53 and 9,242.15

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Solution

The fourth proportional to 10,349.37, 15,444.53 and 9,242.15 is: 13,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.37 : 15,444.53 = 9,242.15 : x
  2. Step 2: Convert to fraction form
    10,349.37/15,444.53 = 9,242.15/x
  3. Step 3: Cross multiply
    10,349.37x = 15,444.53 × 9,242.15
  4. Step 4: Simplify right side
    10,349.37x = 142,740,601.22
  5. Step 5: Solve for x
    x = 142,740,601.22/10,349.37
  6. Step 6: Final answer
    x = 13,792.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.