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Finding the Fourth Proportional to 9,937, 14,882.82 and 4,746.52

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Solution

The fourth proportional to 9,937, 14,882.82 and 4,746.52 is: 7,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937 : 14,882.82 = 4,746.52 : x
  2. Step 2: Convert to fraction form
    9,937/14,882.82 = 4,746.52/x
  3. Step 3: Cross multiply
    9,937x = 14,882.82 × 4,746.52
  4. Step 4: Simplify right side
    9,937x = 70,641,602.79
  5. Step 5: Solve for x
    x = 70,641,602.79/9,937
  6. Step 6: Final answer
    x = 7,108.95

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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.