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Finding the Fourth Proportional to 9,914.74, 14,875.35 and 7,730.98

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Solution

The fourth proportional to 9,914.74, 14,875.35 and 7,730.98 is: 11,599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.74 : 14,875.35 = 7,730.98 : x
  2. Step 2: Convert to fraction form
    9,914.74/14,875.35 = 7,730.98/x
  3. Step 3: Cross multiply
    9,914.74x = 14,875.35 × 7,730.98
  4. Step 4: Simplify right side
    9,914.74x = 115,001,033.34
  5. Step 5: Solve for x
    x = 115,001,033.34/9,914.74
  6. Step 6: Final answer
    x = 11,599.00

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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.