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Finding the Fourth Proportional to 37,509, 56,264.04 and 9,807

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Solution

The fourth proportional to 37,509, 56,264.04 and 9,807 is: 14,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,509 : 56,264.04 = 9,807 : x
  2. Step 2: Convert to fraction form
    37,509/56,264.04 = 9,807/x
  3. Step 3: Cross multiply
    37,509x = 56,264.04 × 9,807
  4. Step 4: Simplify right side
    37,509x = 551,781,440.28
  5. Step 5: Solve for x
    x = 551,781,440.28/37,509
  6. Step 6: Final answer
    x = 14,710.64

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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.