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Finding the Fourth Proportional to 9,530.60, 14,312.10 and 6,258.20

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Solution

The fourth proportional to 9,530.60, 14,312.10 and 6,258.20 is: 9,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.60 : 14,312.10 = 6,258.20 : x
  2. Step 2: Convert to fraction form
    9,530.60/14,312.10 = 6,258.20/x
  3. Step 3: Cross multiply
    9,530.60x = 14,312.10 × 6,258.20
  4. Step 4: Simplify right side
    9,530.60x = 89,567,984.22
  5. Step 5: Solve for x
    x = 89,567,984.22/9,530.60
  6. Step 6: Final answer
    x = 9,397.94

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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.