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Finding the Fourth Proportional to 9,730.65, 14,595.83 and 6,602.88

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Solution

The fourth proportional to 9,730.65, 14,595.83 and 6,602.88 is: 9,904.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.65 : 14,595.83 = 6,602.88 : x
  2. Step 2: Convert to fraction form
    9,730.65/14,595.83 = 6,602.88/x
  3. Step 3: Cross multiply
    9,730.65x = 14,595.83 × 6,602.88
  4. Step 4: Simplify right side
    9,730.65x = 96,374,480.98
  5. Step 5: Solve for x
    x = 96,374,480.98/9,730.65
  6. Step 6: Final answer
    x = 9,904.22

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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.