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Finding the Fourth Proportional to 9,875.16, 14,822.64 and 4,613.76

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Solution

The fourth proportional to 9,875.16, 14,822.64 and 4,613.76 is: 6,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.16 : 14,822.64 = 4,613.76 : x
  2. Step 2: Convert to fraction form
    9,875.16/14,822.64 = 4,613.76/x
  3. Step 3: Cross multiply
    9,875.16x = 14,822.64 × 4,613.76
  4. Step 4: Simplify right side
    9,875.16x = 68,388,103.53
  5. Step 5: Solve for x
    x = 68,388,103.53/9,875.16
  6. Step 6: Final answer
    x = 6,925.27

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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.