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Finding the Fourth Proportional to 9,526.53, 14,284.05 and 4,258.70

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Solution

The fourth proportional to 9,526.53, 14,284.05 and 4,258.70 is: 6,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.53 : 14,284.05 = 4,258.70 : x
  2. Step 2: Convert to fraction form
    9,526.53/14,284.05 = 4,258.70/x
  3. Step 3: Cross multiply
    9,526.53x = 14,284.05 × 4,258.70
  4. Step 4: Simplify right side
    9,526.53x = 60,831,483.74
  5. Step 5: Solve for x
    x = 60,831,483.74/9,526.53
  6. Step 6: Final answer
    x = 6,385.48

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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.