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Finding the Fourth Proportional to 6,557.64, 9,762.30 and 6,518.72

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Solution

The fourth proportional to 6,557.64, 9,762.30 and 6,518.72 is: 9,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.64 : 9,762.30 = 6,518.72 : x
  2. Step 2: Convert to fraction form
    6,557.64/9,762.30 = 6,518.72/x
  3. Step 3: Cross multiply
    6,557.64x = 9,762.30 × 6,518.72
  4. Step 4: Simplify right side
    6,557.64x = 63,637,700.26
  5. Step 5: Solve for x
    x = 63,637,700.26/6,557.64
  6. Step 6: Final answer
    x = 9,704.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.