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Finding the Fourth Proportional to 9,530.76, 14,298.48 and 2,957.88

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Solution

The fourth proportional to 9,530.76, 14,298.48 and 2,957.88 is: 4,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.76 : 14,298.48 = 2,957.88 : x
  2. Step 2: Convert to fraction form
    9,530.76/14,298.48 = 2,957.88/x
  3. Step 3: Cross multiply
    9,530.76x = 14,298.48 × 2,957.88
  4. Step 4: Simplify right side
    9,530.76x = 42,293,188.02
  5. Step 5: Solve for x
    x = 42,293,188.02/9,530.76
  6. Step 6: Final answer
    x = 4,437.55

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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.