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Finding the Fourth Proportional to 6,526.47, 9,000.98 and 4,541.78

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Solution

The fourth proportional to 6,526.47, 9,000.98 and 4,541.78 is: 6,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.47 : 9,000.98 = 4,541.78 : x
  2. Step 2: Convert to fraction form
    6,526.47/9,000.98 = 4,541.78/x
  3. Step 3: Cross multiply
    6,526.47x = 9,000.98 × 4,541.78
  4. Step 4: Simplify right side
    6,526.47x = 40,880,403.23
  5. Step 5: Solve for x
    x = 40,880,403.23/6,526.47
  6. Step 6: Final answer
    x = 6,263.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.