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Finding the Fourth Proportional to 9,697.56, 14,548.50 and 5,312.76

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Solution

The fourth proportional to 9,697.56, 14,548.50 and 5,312.76 is: 7,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.56 : 14,548.50 = 5,312.76 : x
  2. Step 2: Convert to fraction form
    9,697.56/14,548.50 = 5,312.76/x
  3. Step 3: Cross multiply
    9,697.56x = 14,548.50 × 5,312.76
  4. Step 4: Simplify right side
    9,697.56x = 77,292,688.86
  5. Step 5: Solve for x
    x = 77,292,688.86/9,697.56
  6. Step 6: Final answer
    x = 7,970.32

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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.