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Finding the Fourth Proportional to 9,970.74, 14,953.95 and 3,730.50

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Solution

The fourth proportional to 9,970.74, 14,953.95 and 3,730.50 is: 5,594.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.74 : 14,953.95 = 3,730.50 : x
  2. Step 2: Convert to fraction form
    9,970.74/14,953.95 = 3,730.50/x
  3. Step 3: Cross multiply
    9,970.74x = 14,953.95 × 3,730.50
  4. Step 4: Simplify right side
    9,970.74x = 55,785,710.48
  5. Step 5: Solve for x
    x = 55,785,710.48/9,970.74
  6. Step 6: Final answer
    x = 5,594.94

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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.