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Finding the Fourth Proportional to 25,330.36, 37,984.48 and 9,737

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Solution

The fourth proportional to 25,330.36, 37,984.48 and 9,737 is: 14,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,330.36 : 37,984.48 = 9,737 : x
  2. Step 2: Convert to fraction form
    25,330.36/37,984.48 = 9,737/x
  3. Step 3: Cross multiply
    25,330.36x = 37,984.48 × 9,737
  4. Step 4: Simplify right side
    25,330.36x = 369,854,881.76
  5. Step 5: Solve for x
    x = 369,854,881.76/25,330.36
  6. Step 6: Final answer
    x = 14,601.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.